Experiments with country samples

SUMMARY:

Initial preliminary experiment with a sample of 21 countries, chosen using a bit of a cumbersome criteria: for each distribution of the combination country and technology, if its 25th quantile falls below the 30th quantile of the overall distribution of patent counts, then that country is excluded from the analysis.

In the meantime, we understood many things:

Here I present 3 much simpler alternatives:

  1. Top 25 patenting countries by mean: aggregate all technologies, take mean of patents for each country, sort in descending order and select only the top 25. These 25 countries already cover roughly 97% of total patenting. It is a similar sample than the old one, meaning it leads to similar fit. It includes most European countries, US, Japan, China & Taiwan, + a couple of BRICS countries: Brasil, Russia, Singapore, India.

  2. Top 50 patenting countries by mean: aggregate all technologies, take mean patent count for each country, sort in descending order and select the top 50. These 50 countries cover basically the whole dataset: more than 99% of total patents. This is a larger and more generous choice, which includes also the least patenting countries (e.g. 50th country has a mean patent count of 2.0032846).

  3. OECD countries + China & Taiwan: 38 + 2 = 40 countries. Different aggregation, plus China and Taiwan which still are top patenting countries and should be included in my opinion. This sample choice covers 94% of total patents, which is less than any of the other options. This represents a ‘middle’ way to go between a strict and large sample choice in terms of geographical coverage. List of countries included in this sample: AUSTRALIA, AUSTRIA, BELGIUM, CANADA, CHILE, COLOMBIA, COSTA RICA, CZECH REPUBLIC, DENMARK, ESTONIA, FINLAND, FRANCE, GERMANY, GREECE, HUNGARY, ICELAND, IRELAND, ISRAEL, ITALY, JAPAN, KOREA, LATVIA, LITHUANIA, LUXEMBOURG, MEXICO, NETHERLANDS, NEW ZEALAND, NORWAY, POLAND, PORTUGAL, SLOVAK REPUBLIC, SLOVENIA, SPAIN, SWEDEN, SWITZERLAND, TÜRKIYE, UNITED KINGDOM, UNITED STATES

Here you have a decreasing list of mean patent counts for each country of the dataset, you can use it to have a look at which countries are included in the top 25 and top 50 samples:

## New names:
## • `` -> `...1`
ISO mean rank
JPN 2260.2577308 1
USA 1716.1202923 2
KOR 956.7378538 3
DEU 914.2598846 4
CHN 585.7238385 5
FRA 292.5298231 6
GBR 216.2609846 7
TWN 171.0323308 8
CAN 140.7239462 9
ITA 109.3296923 10
DNK 108.2652462 11
NLD 90.8579692 12
IND 71.4810000 13
AUT 69.1459692 14
CHE 67.4734692 15
SWE 66.7875231 16
ESP 66.3707769 17
AUS 62.8277846 18
ISR 49.5584385 19
BEL 38.6013846 20
FIN 37.8312154 21
RUS 29.9267692 22
NOR 24.7340615 23
SGP 20.6760538 24
BRA 14.0478462 25
POL 12.7987000 26
TUR 12.6686769 27
ZAF 11.2392923 28
SAU 11.1242077 29
IRL 10.2894692 30
NZL 10.2097308 31
HKG 8.5648846 32
CZE 8.2975000 33
UKR 7.1692846 34
MEX 6.4387462 35
MYS 6.4137538 36
HUN 6.2770231 37
PRT 6.2678538 38
GRC 5.8170000 39
ROU 3.7016462 40
CHL 3.5083385 41
SVK 3.0182231 42
THA 2.9941462 43
LUX 2.9333154 44
SVN 2.5338308 45
IRN 2.4668769 46
BGR 2.4627385 47
PHL 2.1595462 48
ARG 2.1546462 49
VNM 2.0032846 50
KAZ 1.7340462 51
MAR 1.7325846 52
EGY 1.7116846 53
ARE 1.7113385 54
HRV 1.6315000 55
BLR 1.5991000 56
COL 1.4917769 57
IDN 1.3327923 58
SRB 1.3215462 59
EST 1.1984769 60
LTU 1.0052154 61
VEN 0.8717769 62
PAK 0.8269385 63
CYP 0.7575462 64
ISL 0.7398077 65
LVA 0.7313846 66
MLT 0.6788385 67
JOR 0.6728769 68
LIE 0.6569846 69
QAT 0.6410154 70
ARM 0.6310231 71
PER 0.6031846 72
PRK 0.5841538 73
LKA 0.5486462 74
DZA 0.5481846 75
TUN 0.5235692 76
KEN 0.5182154 77
BIH 0.5108923 78
GEO 0.4989462 79
BHS 0.4551308 80
PAN 0.4288385 81
MCO 0.4000000 82
BGD 0.3864385 83
LBN 0.3772923 84
KWT 0.3153846 85
ECU 0.3083000 86
NPL 0.2876692 87
MDA 0.2840385 88
CRI 0.2721692 89
ETH 0.2435692 90
NGA 0.2328231 91
VGB 0.2275000 92
AZE 0.2188385 93
ANT 0.2181846 94
URY 0.2025462 95
MUS 0.2019154 96
UZB 0.2012462 97
ALB 0.1783308 98
JAM 0.1641000 99
OMN 0.1564077 100
BRB 0.1502538 101
DOM 0.1384615 102
CMR 0.1346154 103
MKD 0.1342231 104
CUB 0.1337462 105
GHA 0.1306385 106
PRY 0.1269231 107
TTO 0.1253692 108
BRN 0.1173077 109
LAO 0.1141000 110
IRQ 0.1128077 111
SEN 0.1046077 112
SDN 0.1012846 113
FRO 0.0993615 114
PRI 0.0973077 115
MNE 0.0964000 116
YEM 0.0961462 117
BHR 0.0938462 118
AND 0.0925462 119
MAC 0.0846077 120
NAM 0.0814000 121
ZWE 0.0801154 122
GTM 0.0794769 123
KGZ 0.0769308 124
SLE 0.0717846 125
MMR 0.0630769 126
NER 0.0624231 127
SLV 0.0596154 128
SMR 0.0596154 129
GUY 0.0580769 130
SYR 0.0564077 131
BDI 0.0538462 132
NCL 0.0531923 133
ZMB 0.0525615 134
GIB 0.0519231 135
BLZ 0.0442231 136
KHM 0.0423077 137
MDG 0.0389154 138
FJI 0.0384615 139
DMA 0.0346154 140
REU 0.0346154 141
CAF 0.0333308 142
LBR 0.0320538 143
KNA 0.0320385 144
MNG 0.0316923 145
DJI 0.0307692 146
PSE 0.0307692 147
TKM 0.0307692 148
TGO 0.0282000 149
GAB 0.0274308 150
BFA 0.0269231 151
ERI 0.0269231 152
SWZ 0.0256308 153
SYC 0.0256308 154
ATG 0.0243538 155
LBY 0.0230769 156
UGA 0.0211538 157
MRT 0.0198692 158
AFG 0.0192385 159
GRD 0.0192308 160
VAT 0.0192308 161
TJK 0.0185846 162
CIV 0.0174308 163
MLI 0.0159308 164
AGO 0.0153846 165
GLP 0.0153846 166
TZA 0.0153769 167
RWA 0.0153692 168
GUF 0.0142308 169
BWA 0.0128154 170
SUR 0.0115385 171
VCT 0.0115385 172
WSM 0.0115385 173
BOL 0.0115308 174
HND 0.0096154 175
TUV 0.0096154 176
COG 0.0089692 177
BEN 0.0076923 178
CPV 0.0076923 179
GMB 0.0076923 180
KIR 0.0076923 181
LCA 0.0076923 182
NIC 0.0076923 183
TCD 0.0076923 184
GRL 0.0076846 185
GIN 0.0051308 186
GNQ 0.0038462 187
MHL 0.0038462 188
PNG 0.0038462 189
SLB 0.0038462 190
SOM 0.0038462 191
STP 0.0038462 192
VIR 0.0038462 193
VUT 0.0038462 194
HTI 0.0025615 195
MDV 0.0012846 196

Difference in coverage of total patents

Percentage in coverage

tot_count count_oecd count_top25 count_top50 perc_coverage_oecd perc_coverage_top25 perc_coverage_top50
1088512 1030337 1063603 1083560 94.65548 97.71162 99.54501

Sample experiments with preferred model specification

CCMT

oecd

Count

0.01

                Formula: count~ gdp + pop      
                oecd (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Tue Jan  9 17:43:10 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 936       
                Sample: 1 to 936       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            9.2802e-01  7.5260e-03 123.3076 < 2.2e-16 ***      
                gdp           -7.8207e-14  4.5102e-14  -1.7340 0.0832950 .        
                pop            2.7368e-06  2.0330e-07  13.4619 < 2.2e-16 ***      
                idAUT          4.3041e+01  1.0896e+01   3.9504 8.473e-05 ***      
                idBEL          2.4596e+01  1.0721e+01   2.2941 0.0220336 *        
                idCAN         -2.0950e+00  1.0760e+01  -0.1947 0.8456719          
                idCHE          3.9014e+01  1.0912e+01   3.5754 0.0003701 ***      
                idCHL          7.2428e+00  1.2248e+01   0.5913 0.5544568          
                idCHN         -3.3465e+03  2.5874e+02 -12.9338 < 2.2e-16 ***      
                idCOL         -2.9877e+01  2.9318e+01  -1.0191 0.3084712          
                idCRI          3.0412e+01  1.1036e+01   2.7556 0.0059886 **       
                idCZE          1.5642e+01  1.0717e+01   1.4595 0.1448181          
                idDEU          7.6374e+01  1.7929e+01   4.2598 2.283e-05 ***      
                idDNK          5.5188e+01  1.1074e+01   4.9837 7.611e-07 ***      
                idESP         -6.2485e+01  1.1555e+01  -5.4075 8.384e-08 ***      
                idEST          3.7210e+01  1.1126e+01   3.3443 0.0008623 ***      
                idFIN          3.9899e+01  1.0981e+01   3.6336 0.0002969 ***      
                idFRA         -2.5955e+01  1.2906e+01  -2.0110 0.0446475 *        
                idGRC          1.1969e+01  1.0699e+01   1.1187 0.2636015          
                idHUN          1.7366e+01  1.0838e+01   1.6024 0.1094503          
                idIRL          3.3115e+01  1.0969e+01   3.0191 0.0026140 **       
                idISL          4.0137e+01  1.1195e+01   3.5853 0.0003566 ***      
                idISR          3.4799e+01  1.0878e+01   3.1991 0.0014317 **       
                idITA         -8.0901e+01  1.2687e+01  -6.3766 3.018e-10 ***      
                idJPN          1.8040e+02  3.6213e+01   4.9816 7.690e-07 ***      
                idKOR          3.2269e+02  5.6354e+01   5.7261 1.441e-08 ***      
                idLTU          3.1993e+01  1.1018e+01   2.9037 0.0037872 **       
                idLUX          4.0299e+01  1.1183e+01   3.6036 0.0003328 ***      
                idLVA          3.4847e+01  1.1076e+01   3.1461 0.0017142 **       
                idMEX         -2.5397e+02  2.1204e+01 -11.9774 < 2.2e-16 ***      
                idNLD          2.7446e+01  1.0653e+01   2.5763 0.0101594 *        
                idNOR          3.5636e+01  1.0965e+01   3.2499 0.0012015 **       
                idNZL          3.1598e+01  1.0973e+01   2.8796 0.0040856 **       
                idPOL         -5.8872e+01  1.1310e+01  -5.2052 2.450e-07 ***      
                idPRT          1.4116e+01  1.0714e+01   1.3176 0.1880166          
                idSVK          2.6796e+01  1.0907e+01   2.4567 0.0142265 *        
                idSVN          3.6008e+01  1.1088e+01   3.2476 0.0012109 **       
                idSWE          4.0521e+01  1.0866e+01   3.7291 0.0002054 ***      
                idTUR         -1.4942e+02  1.5099e+01  -9.8962 < 2.2e-16 ***      
                idTWN          3.9291e+01  1.0739e+01   3.6589 0.0002695 ***      
                idUSA         -3.7625e+02  5.0828e+01  -7.4025 3.312e-13 ***      
                time1996      -4.5037e+01  1.0049e+01  -4.4818 8.454e-06 ***      
                time1997      -4.5114e+01  1.0065e+01  -4.4825 8.427e-06 ***      
                time1998      -4.2880e+01  1.0082e+01  -4.2530 2.351e-05 ***      
                time1999      -4.1266e+01  1.0129e+01  -4.0741 5.068e-05 ***      
                time2000      -3.8573e+01  1.0133e+01  -3.8069 0.0001512 ***      
                time2001      -4.2363e+01  1.0154e+01  -4.1723 3.337e-05 ***      
                time2002      -5.2839e+01  1.0165e+01  -5.1981 2.543e-07 ***      
                time2003      -4.4852e+01  1.0225e+01  -4.3867 1.301e-05 ***      
                time2004      -3.7002e+01  1.0180e+01  -3.6348 0.0002955 ***      
                time2005      -3.9870e+01  1.0195e+01  -3.9105 9.971e-05 ***      
                time2006      -3.2126e+01  1.0179e+01  -3.1560 0.0016577 **       
                time2007      -2.4838e+01  1.0237e+01  -2.4263 0.0154674 *        
                time2008      -2.5269e+01  1.0239e+01  -2.4679 0.0137951 *        
                time2009      -2.1087e+01  1.0296e+01  -2.0481 0.0408683 *        
                time2010      -1.7919e+01  1.0344e+01  -1.7322 0.0836062 .        
                time2011      -3.4520e+01  1.0297e+01  -3.3523 0.0008380 ***      
                time2012      -3.8570e+01  1.0359e+01  -3.7233 0.0002101 ***      
                time2013      -6.5268e+01  1.0453e+01  -6.2439 6.838e-10 ***      
                time2014      -5.0273e+01  1.0416e+01  -4.8265 1.657e-06 ***      
                time2015      -4.7170e+01  1.0454e+01  -4.5121 7.355e-06 ***      
                time2016      -4.8840e+01  1.0361e+01  -4.7137 2.857e-06 ***      
                time2017      -3.7321e+01  1.0415e+01  -3.5833 0.0003593 ***      
                time2018      -4.2928e+01  1.0367e+01  -4.1409 3.818e-05 ***      
                time2019      -5.5717e+01  1.0440e+01  -5.3367 1.225e-07 ***      
                iis165         8.4590e+02  4.0794e+01  20.7362 < 2.2e-16 ***      
                iis166         6.4664e+02  4.2733e+01  15.1322 < 2.2e-16 ***      
                iis167         4.7346e+02  4.4898e+01  10.5452 < 2.2e-16 ***      
                iis168         3.2630e+02  4.6919e+01   6.9546 7.220e-12 ***      
                iis258        -3.0164e+02  4.2806e+01  -7.0466 3.886e-12 ***      
                iis264        -6.6567e+02  4.2926e+01 -15.5074 < 2.2e-16 ***      
                iis541        -3.8619e+02  5.4683e+01  -7.0624 3.490e-12 ***      
                iis542         6.2263e+02  5.5627e+01  11.1929 < 2.2e-16 ***      
                iis543         1.8855e+03  5.4123e+01  34.8365 < 2.2e-16 ***      
                iis544         1.0018e+03  5.2345e+01  19.1385 < 2.2e-16 ***      
                iis545        -1.3829e+02  5.2793e+01  -2.6194 0.0089705 **       
                iis546        -3.8009e+02  5.2548e+01  -7.2332 1.083e-12 ***      
                iis548        -1.8964e+02  5.2362e+01  -3.6217 0.0003107 ***      
                iis550         2.1819e+02  4.5367e+01   4.8096 1.799e-06 ***      
                iis552        -1.4991e+03  4.5408e+01 -33.0135 < 2.2e-16 ***      
                iis553        -2.2707e+02  4.5551e+01  -4.9849 7.565e-07 ***      
                iis554        -3.0575e+02  4.4562e+01  -6.8611 1.346e-11 ***      
                iis555        -2.8313e+02  4.5334e+01  -6.2454 6.778e-10 ***      
                iis556        -2.7277e+02  4.3690e+01  -6.2433 6.864e-10 ***      
                iis557        -2.9474e+02  4.2511e+01  -6.9332 8.333e-12 ***      
                iis558        -2.0177e+02  4.1943e+01  -4.8106 1.790e-06 ***      
                iis559        -2.0342e+02  4.1108e+01  -4.9484 9.079e-07 ***      
                iis566         5.2806e+02  4.5925e+01  11.4982 < 2.2e-16 ***      
                iis567         3.8074e+02  4.3676e+01   8.7174 < 2.2e-16 ***      
                iis570         2.2779e+02  4.2796e+01   5.3227 1.320e-07 ***      
                iis572        -4.1795e+02  4.6023e+01  -9.0813 < 2.2e-16 ***      
                iis573         4.2539e+02  4.5713e+01   9.3057 < 2.2e-16 ***      
                iis574        -3.4947e+02  4.5529e+01  -7.6758 4.667e-14 ***      
                iis920        -3.7095e+02  4.1554e+01  -8.9270 < 2.2e-16 ***      
                iis924         3.5821e+02  4.0733e+01   8.7940 < 2.2e-16 ***      
                iis927         1.6703e+02  4.1493e+01   4.0254 6.214e-05 ***      
                iis929         8.6743e+02  4.5459e+01  19.0818 < 2.2e-16 ***      
                iis930         5.9923e+02  4.5509e+01  13.1674 < 2.2e-16 ***      
                iis931        -8.2532e+02  4.5934e+01 -17.9676 < 2.2e-16 ***      
                iis934        -4.2290e+02  4.5368e+01  -9.3217 < 2.2e-16 ***      
                iis935        -4.1670e+02  4.5495e+01  -9.1591 < 2.2e-16 ***      
                iis936        -7.5570e+02  4.5848e+01 -16.4827 < 2.2e-16 ***      
                fesisDEU.2007  2.9780e+02  2.3273e+01  12.7961 < 2.2e-16 ***      
                fesisDEU.2012 -4.1601e+02  2.7216e+01 -15.2853 < 2.2e-16 ***      
                fesisDEU.2016  3.3658e+02  3.0285e+01  11.1136 < 2.2e-16 ***      
                fesisJPN.1999  5.1006e+02  3.4424e+01  14.8168 < 2.2e-16 ***      
                fesisJPN.2001 -5.7823e+02  3.7974e+01 -15.2269 < 2.2e-16 ***      
                fesisJPN.2003  3.0640e+02  3.1442e+01   9.7449 < 2.2e-16 ***      
                fesisJPN.2008 -2.2762e+02  4.5867e+01  -4.9626 8.456e-07 ***      
                fesisJPN.2016  2.1403e+02  4.5391e+01   4.7153 2.835e-06 ***      
                fesisKOR.2009  1.8490e+02  3.5865e+01   5.1555 3.171e-07 ***      
                fesisKOR.2015 -1.0120e+02  3.6496e+01  -2.7729 0.0056813 **       
                fesisUSA.2000  1.9336e+02  2.7192e+01   7.1110 2.508e-12 ***      
                fesisUSA.2005  2.6772e+02  3.0030e+01   8.9152 < 2.2e-16 ***      
                fesisUSA.2012 -3.4467e+02  3.5963e+01  -9.5841 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    9.4476  1  0.002114 **       
                Ljung-Box ARCH(1) 18.3854  1 1.804e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    36.52185      
                R-squared            0.99949      
                Log-lik.(n=936)  -4638.27098      
0.05

                Formula: count~ gdp + pop      
                oecd (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Tue Jan  9 17:48:04 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 936       
                Sample: 1 to 936       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            9.1697e-01  5.0194e-03 182.6846 < 2.2e-16 ***      
                gdp           -4.9311e-14  4.2040e-14  -1.1729 0.2411600          
                pop            2.8549e-06  1.8183e-07  15.7010 < 2.2e-16 ***      
                idAUT          4.4903e+01  1.0065e+01   4.4613 9.295e-06 ***      
                idBEL          2.5173e+01  9.9304e+00   2.5349 0.0114341 *        
                idCAN         -8.2246e-01  9.9509e+00  -0.0827 0.9341485          
                idCHE          4.0769e+01  1.0083e+01   4.0432 5.774e-05 ***      
                idCHL          2.0416e+00  1.1346e+01   0.1799 0.8572427          
                idCHN         -3.4929e+03  2.3199e+02 -15.0559 < 2.2e-16 ***      
                idCOL         -5.1986e+01  2.7204e+01  -1.9110 0.0563548 .        
                idCRI          2.9748e+01  1.0226e+01   2.9091 0.0037231 **       
                idCZE          1.5144e+01  9.9269e+00   1.5255 0.1275224          
                idDEU          4.8572e+01  1.6779e+01   2.8949 0.0038949 **       
                idDNK          5.7486e+01  1.0214e+01   5.6283 2.505e-08 ***      
                idESP         -6.5399e+01  1.0635e+01  -6.1492 1.220e-09 ***      
                idEST          3.7643e+01  1.0308e+01   3.6520 0.0002769 ***      
                idFIN          4.1255e+01  1.0159e+01   4.0609 5.361e-05 ***      
                idFRA         -2.3191e+01  1.1883e+01  -1.9516 0.0513316 .        
                idGRC          1.1402e+01  9.9082e+00   1.1508 0.2501570          
                idHUN          1.6058e+01  1.0039e+01   1.5995 0.1100961          
                idIRL          3.3462e+01  1.0162e+01   3.2929 0.0010343 **       
                idISL          4.0622e+01  1.0371e+01   3.9170 9.719e-05 ***      
                idISR          3.5929e+01  1.0068e+01   3.5686 0.0003799 ***      
                idITA         -8.3637e+01  1.1703e+01  -7.1468 1.977e-12 ***      
                idJPN          1.9623e+02  3.1834e+01   6.1640 1.116e-09 ***      
                idKOR          2.6091e+02  5.3443e+01   4.8820 1.264e-06 ***      
                idLTU          3.2195e+01  1.0208e+01   3.1540 0.0016699 **       
                idLUX          4.0888e+01  1.0359e+01   3.9471 8.595e-05 ***      
                idLVA          3.5165e+01  1.0262e+01   3.4269 0.0006413 ***      
                idMEX         -2.6647e+02  1.8974e+01 -14.0445 < 2.2e-16 ***      
                idNLD          2.9157e+01  9.8429e+00   2.9623 0.0031428 **       
                idNOR          3.6265e+01  1.0156e+01   3.5708 0.0003768 ***      
                idNZL          3.1993e+01  1.0166e+01   3.1472 0.0017086 **       
                idPOL         -6.2460e+01  1.0366e+01  -6.0253 2.557e-09 ***      
                idPRT          1.3616e+01  9.9224e+00   1.3722 0.1703692          
                idSVK          2.6804e+01  1.0105e+01   2.6525 0.0081448 **       
                idSVN          3.6406e+01  1.0272e+01   3.5443 0.0004162 ***      
                idSWE          4.2332e+01  1.0036e+01   4.2178 2.744e-05 ***      
                idTUR         -1.5696e+02  1.3623e+01 -11.5217 < 2.2e-16 ***      
                idTWN          4.2332e+01  9.8597e+00   4.2934 1.972e-05 ***      
                idUSA         -3.8969e+02  4.6870e+01  -8.3143 3.863e-16 ***      
                time1996      -4.5698e+01  9.2951e+00  -4.9164 1.067e-06 ***      
                time1997      -4.5658e+01  9.3132e+00  -4.9025 1.143e-06 ***      
                time1998      -4.3284e+01  9.3327e+00  -4.6379 4.101e-06 ***      
                time1999      -3.9674e+01  9.3851e+00  -4.2274 2.632e-05 ***      
                time2000      -4.0108e+01  9.4128e+00  -4.2610 2.274e-05 ***      
                time2001      -4.3761e+01  9.3640e+00  -4.6733 3.468e-06 ***      
                time2002      -4.9665e+01  9.4397e+00  -5.2613 1.831e-07 ***      
                time2003      -4.4164e+01  9.4589e+00  -4.6690 3.540e-06 ***      
                time2004      -4.1614e+01  9.4496e+00  -4.4037 1.206e-05 ***      
                time2005      -4.1816e+01  9.4798e+00  -4.4110 1.167e-05 ***      
                time2006      -3.8061e+01  9.4779e+00  -4.0158 6.474e-05 ***      
                time2007      -2.4254e+01  9.4863e+00  -2.5568 0.0107452 *        
                time2008      -2.4641e+01  9.5289e+00  -2.5859 0.0098845 **       
                time2009      -2.4252e+01  9.6162e+00  -2.5220 0.0118593 *        
                time2010      -1.7381e+01  9.5852e+00  -1.8133 0.0701575 .        
                time2011      -3.2910e+01  9.5653e+00  -3.4406 0.0006100 ***      
                time2012      -3.8171e+01  9.5925e+00  -3.9792 7.531e-05 ***      
                time2013      -6.4978e+01  9.6802e+00  -6.7125 3.589e-11 ***      
                time2014      -5.0219e+01  9.6475e+00  -5.2054 2.454e-07 ***      
                time2015      -4.7767e+01  9.6819e+00  -4.9336 9.792e-07 ***      
                time2016      -4.8541e+01  9.5983e+00  -5.0573 5.259e-07 ***      
                time2017      -4.0274e+01  9.6816e+00  -4.1599 3.523e-05 ***      
                time2018      -4.1935e+01  9.6126e+00  -4.3625 1.451e-05 ***      
                time2019      -5.6101e+01  9.6722e+00  -5.8002 9.484e-09 ***      
                iis165         8.5436e+02  3.7457e+01  22.8090 < 2.2e-16 ***      
                iis166         6.6889e+02  3.8489e+01  17.3787 < 2.2e-16 ***      
                iis167         4.9985e+02  3.9565e+01  12.6335 < 2.2e-16 ***      
                iis168         3.5992e+02  4.0603e+01   8.8643 < 2.2e-16 ***      
                iis254         8.8038e+01  3.8365e+01   2.2948 0.0220006 *        
                iis258        -2.9918e+02  3.9646e+01  -7.5463 1.201e-13 ***      
                iis262         1.3238e+02  4.2043e+01   3.1488 0.0016995 **       
                iis264        -6.1638e+02  4.2102e+01 -14.6403 < 2.2e-16 ***      
                iis532         4.4125e+02  3.8340e+01  11.5088 < 2.2e-16 ***      
                iis533         5.6820e+02  3.8533e+01  14.7459 < 2.2e-16 ***      
                iis535        -1.6724e+02  3.9194e+01  -4.2671 2.214e-05 ***      
                iis541        -4.1027e+02  4.9640e+01  -8.2649 5.664e-16 ***      
                iis542         5.9924e+02  5.0117e+01  11.9570 < 2.2e-16 ***      
                iis543         1.8653e+03  4.9376e+01  37.7783 < 2.2e-16 ***      
                iis544         1.0016e+03  4.8504e+01  20.6497 < 2.2e-16 ***      
                iis545        -1.2797e+02  4.8708e+01  -2.6272 0.0087715 **       
                iis546        -3.7377e+02  4.8604e+01  -7.6900 4.249e-14 ***      
                iis548        -1.9092e+02  4.8512e+01  -3.9354 9.014e-05 ***      
                iis550         2.2066e+02  4.2043e+01   5.2486 1.958e-07 ***      
                iis552        -1.4953e+03  4.2058e+01 -35.5528 < 2.2e-16 ***      
                iis553        -1.8987e+02  4.2805e+01  -4.4357 1.044e-05 ***      
                iis554        -2.6884e+02  4.1902e+01  -6.4160 2.374e-10 ***      
                iis555        -2.4503e+02  4.2646e+01  -5.7456 1.294e-08 ***      
                iis556        -2.3866e+02  4.1111e+01  -5.8052 9.213e-09 ***      
                iis557        -2.5917e+02  3.9942e+01  -6.4886 1.504e-10 ***      
                iis558        -1.6740e+02  3.9414e+01  -4.2473 2.414e-05 ***      
                iis559        -1.7459e+02  3.8601e+01  -4.5230 7.004e-06 ***      
                iis561         2.2412e+02  3.7874e+01   5.9176 4.813e-09 ***      
                iis566         5.1636e+02  4.1619e+01  12.4069 < 2.2e-16 ***      
                iis567         3.7265e+02  4.0202e+01   9.2695 < 2.2e-16 ***      
                iis570         2.2876e+02  3.9644e+01   5.7704 1.124e-08 ***      
                iis572        -4.1004e+02  4.2627e+01  -9.6191 < 2.2e-16 ***      
                iis573         4.2680e+02  4.2356e+01  10.0765 < 2.2e-16 ***      
                iis574        -3.4100e+02  4.2168e+01  -8.0868 2.218e-15 ***      
                iis920        -3.5905e+02  3.7386e+01  -9.6040 < 2.2e-16 ***      
                iis922         1.9793e+02  3.7298e+01   5.3067 1.441e-07 ***      
                iis923         3.6662e+02  3.7105e+01   9.8806 < 2.2e-16 ***      
                iis924         6.5197e+02  3.7046e+01  17.5990 < 2.2e-16 ***      
                iis925         3.1264e+02  3.7376e+01   8.3647 2.609e-16 ***      
                iis926         3.4546e+02  3.7743e+01   9.1531 < 2.2e-16 ***      
                iis927         4.8058e+02  3.8187e+01  12.5849 < 2.2e-16 ***      
                iis928         2.8948e+02  3.8921e+01   7.4377 2.604e-13 ***      
                iis929         8.4636e+02  3.9415e+01  21.4731 < 2.2e-16 ***      
                iis930         5.8770e+02  4.1076e+01  14.3076 < 2.2e-16 ***      
                iis931        -8.3110e+02  4.2212e+01 -19.6889 < 2.2e-16 ***      
                iis934        -4.3683e+02  4.0172e+01 -10.8740 < 2.2e-16 ***      
                iis935        -4.3936e+02  3.9373e+01 -11.1590 < 2.2e-16 ***      
                iis936        -7.8136e+02  3.8825e+01 -20.1251 < 2.2e-16 ***      
                fesisDEU.2005  2.0292e+02  2.6924e+01   7.5366 1.287e-13 ***      
                fesisDEU.2007  1.3168e+02  3.0318e+01   4.3434 1.581e-05 ***      
                fesisDEU.2012 -3.9359e+02  2.6271e+01 -14.9821 < 2.2e-16 ***      
                fesisDEU.2016  2.9042e+02  3.1344e+01   9.2653 < 2.2e-16 ***      
                fesisJPN.2003  2.5451e+02  2.5611e+01   9.9377 < 2.2e-16 ***      
                fesisJPN.2008 -1.9776e+02  4.0235e+01  -4.9150 1.074e-06 ***      
                fesisJPN.2016  2.1000e+02  4.2046e+01   4.9946 7.218e-07 ***      
                fesisKOR.2009  2.3910e+02  3.1227e+01   7.6567 5.413e-14 ***      
                fesisKOR.2015 -1.0434e+02  3.3756e+01  -3.0909 0.0020634 **       
                fesisUSA.2000  1.9718e+02  2.5415e+01   7.7581 2.582e-14 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   10.123  1  0.001464 **       
                Ljung-Box ARCH(1) 28.497  1 9.383e-08 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    33.83628      
                R-squared            0.99957      
                Log-lik.(n=936)  -4562.78203      

Log Count

0.01

                Formula: log_count~ lgdp + lpop      
                oecd (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Tue Jan  9 17:54:28 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 936       
                Sample: 1 to 936       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error   t-stat   p-value          
                ar1             0.361690   0.023890  15.1398 < 2.2e-16 ***      
                lgdp            0.987192   0.090976  10.8512 < 2.2e-16 ***      
                lpop           -0.295233   0.186558  -1.5825 0.1139094          
                idAUT           1.346119   0.214334   6.2805 5.437e-10 ***      
                idBEL           0.875239   0.172690   5.0683 4.950e-07 ***      
                idCAN           0.515053   0.107349   4.7979 1.900e-06 ***      
                idCHE           0.654477   0.204098   3.2067 0.0013941 **       
                idCHL          -6.272501   0.453869 -13.8201 < 2.2e-16 ***      
                idCHN          -1.410265   0.768377  -1.8354 0.0668062 .        
                idCOL          -8.444856   0.587611 -14.3715 < 2.2e-16 ***      
                idCRI          -5.966098   0.464104 -12.8551 < 2.2e-16 ***      
                idCZE          -2.435070   0.202044 -12.0522 < 2.2e-16 ***      
                idDEU           1.487256   0.263708   5.6398 2.334e-08 ***      
                idDNK          -0.877041   0.271900  -3.2256 0.0013062 **       
                idESP           0.424668   0.160808   2.6408 0.0084253 **       
                idEST           1.193160   0.587715   2.0302 0.0426575 *        
                idFIN           1.348278   0.293837   4.5885 5.153e-06 ***      
                idFRA           1.004302   0.216354   4.6419 4.010e-06 ***      
                idGRC           0.809711   0.301646   2.6843 0.0074127 **       
                idHUN          -4.658645   0.360521 -12.9220 < 2.2e-16 ***      
                idIRL           0.380720   0.325472   1.1697 0.2424383          
                idISL          -4.051084   0.812661  -4.9850 7.544e-07 ***      
                idISR          -0.095239   0.208434  -0.4569 0.6478442          
                idITA           0.540199   0.200096   2.6997 0.0070813 **       
                idJPN          -3.005776   0.557764  -5.3890 9.235e-08 ***      
                idKOR          -4.981305   0.591139  -8.4266 < 2.2e-16 ***      
                idLTU           0.672504   0.447621   1.5024 0.1333746          
                idLUX           0.628541   0.729793   0.8613 0.3893440          
                idLVA           1.549157   0.510898   3.0322 0.0025030 **       
                idMEX          -3.149459   0.354322  -8.8887 < 2.2e-16 ***      
                idNLD           1.026853   0.108816   9.4366 < 2.2e-16 ***      
                idNOR          -1.714963   0.305715  -5.6097 2.761e-08 ***      
                idNZL           0.403658   0.327196   1.2337 0.2176675          
                idPOL          -0.839632   0.133876  -6.2717 5.737e-10 ***      
                idPRT           0.328230   0.215601   1.5224 0.1282902          
                idSVK           0.783358   0.345209   2.2692 0.0235101 *        
                idSVN           1.084151   0.499551   2.1703 0.0302703 *        
                idSWE          -0.997007   0.197461  -5.0491 5.456e-07 ***      
                idTUR          -1.068428   0.266092  -4.0153 6.475e-05 ***      
                idTWN           0.209245   0.116163   1.8013 0.0720174 .        
                idUSA           0.552649   0.505028   1.0943 0.2741431          
                time1996      -19.658036   3.618945  -5.4320 7.323e-08 ***      
                time1997      -19.686877   3.621337  -5.4364 7.152e-08 ***      
                time1998      -19.558805   3.623699  -5.3975 8.823e-08 ***      
                time1999      -19.646224   3.625332  -5.4192 7.849e-08 ***      
                time2000      -19.556241   3.628211  -5.3901 9.182e-08 ***      
                time2001      -19.519145   3.629436  -5.3780 9.796e-08 ***      
                time2002      -19.586811   3.631231  -5.3940 8.990e-08 ***      
                time2003      -19.528400   3.633266  -5.3749 9.961e-08 ***      
                time2004      -19.448005   3.635104  -5.3501 1.138e-07 ***      
                time2005      -19.391613   3.636978  -5.3318 1.254e-07 ***      
                time2006      -19.327951   3.639973  -5.3099 1.409e-07 ***      
                time2007      -19.237223   3.642972  -5.2806 1.645e-07 ***      
                time2008      -19.231890   3.642705  -5.2796 1.654e-07 ***      
                time2009      -19.141857   3.641851  -5.2561 1.872e-07 ***      
                time2010      -19.062363   3.643337  -5.2321 2.123e-07 ***      
                time2011      -19.094018   3.644792  -5.2387 2.051e-07 ***      
                time2012      -19.158873   3.646354  -5.2543 1.890e-07 ***      
                time2013      -19.221100   3.647824  -5.2692 1.747e-07 ***      
                time2014      -19.162727   3.650402  -5.2495 1.938e-07 ***      
                time2015      -19.211352   3.652123  -5.2603 1.831e-07 ***      
                time2016      -19.233328   3.654049  -5.2636 1.800e-07 ***      
                time2017      -19.241222   3.656567  -5.2621 1.814e-07 ***      
                time2018      -19.317388   3.658677  -5.2799 1.651e-07 ***      
                time2019      -19.314162   3.660761  -5.2760 1.686e-07 ***      
                iis122         -0.783888   0.240162  -3.2640 0.0011434 **       
                iis174         -1.095987   0.241820  -4.5322 6.692e-06 ***      
                iis194          1.106552   0.247562   4.4698 8.915e-06 ***      
                iis196          0.746297   0.247180   3.0193 0.0026115 **       
                iis202          0.959602   0.247057   3.8841 0.0001109 ***      
                iis322         -0.825887   0.240076  -3.4401 0.0006105 ***      
                iis323         -1.345008   0.240269  -5.5979 2.947e-08 ***      
                iis385         -1.473087   0.333068  -4.4228 1.104e-05 ***      
                iis394          0.777821   0.244647   3.1794 0.0015307 **       
                iis410          0.845650   0.240590   3.5149 0.0004637 ***      
                iis412         -0.943759   0.240100  -3.9307 9.175e-05 ***      
                iis469         -0.968595   0.239726  -4.0404 5.830e-05 ***      
                iis474         -1.228359   0.239541  -5.1280 3.646e-07 ***      
                iis587         -0.990933   0.239740  -4.1334 3.938e-05 ***      
                iis589          0.935867   0.240327   3.8941 0.0001065 ***      
                iis603          1.138477   0.245968   4.6286 4.271e-06 ***      
                iis632          1.351832   0.249052   5.4279 7.486e-08 ***      
                iis638          1.325841   0.248463   5.3362 1.225e-07 ***      
                iis653         -1.002750   0.239747  -4.1825 3.189e-05 ***      
                iis747         -1.176495   0.239948  -4.9031 1.134e-06 ***      
                iis770         -1.161843   0.240212  -4.8367 1.573e-06 ***      
                iis818         -0.830682   0.240180  -3.4586 0.0005706 ***      
                iis828         -0.867924   0.239434  -3.6249 0.0003067 ***      
                iis868         -0.778791   0.271020  -2.8736 0.0041622 **       
                fesisCHN.2004   0.485915   0.123959   3.9200 9.585e-05 ***      
                fesisCOL.1999   1.048511   0.214238   4.8941 1.186e-06 ***      
                fesisCOL.2001  -0.604096   0.175663  -3.4389 0.0006130 ***      
                fesisCRI.2008  -0.816024   0.120369  -6.7794 2.288e-11 ***      
                fesisCRI.2016   0.660311   0.143695   4.5952 4.994e-06 ***      
                fesisDNK.2007   0.478557   0.098359   4.8654 1.366e-06 ***      
                fesisGRC.1998  -0.889297   0.250955  -3.5436 0.0004166 ***      
                fesisGRC.2005   0.343561   0.111217   3.0891 0.0020745 **       
                fesisLUX.2007  -0.362159   0.103156  -3.5108 0.0004708 ***      
                fesisLVA.2002  -1.092194   0.132501  -8.2429 6.527e-16 ***      
                fesisLVA.2012   0.760796   0.186660   4.0758 5.025e-05 ***      
                fesisLVA.2014  -1.244898   0.213860  -5.8211 8.348e-09 ***      
                fesisLVA.2017   0.900111   0.191619   4.6974 3.082e-06 ***      
                fesisNZL.2015  -0.528101   0.119764  -4.4095 1.172e-05 ***      
                fesisTUR.2000   0.625343   0.149373   4.1865 3.136e-05 ***      
                fesisTWN.2002   0.934932   0.119041   7.8539 1.244e-14 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    1.6182  1    0.2033          
                Ljung-Box ARCH(1) 62.1679  1 3.109e-15 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                               
                SE of regression  0.23107      
                R-squared         0.99061      
                Log-lik.(n=936)  95.66173      
0.05

                Formula: log_count~ lgdp + lpop      
                oecd (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Tue Jan  9 17:59:17 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 936       
                Sample: 1 to 936       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error   t-stat   p-value          
                ar1             0.318058   0.021410  14.8556 < 2.2e-16 ***      
                lgdp            1.004098   0.081998  12.2454 < 2.2e-16 ***      
                lpop           -0.473458   0.170912  -2.7702 0.0057341 **       
                idAUT           0.975893   0.190653   5.1187 3.867e-07 ***      
                idBEL           0.520660   0.154781   3.3639 0.0008057 ***      
                idCAN           0.392317   0.113555   3.4549 0.0005799 ***      
                idCHE           0.257307   0.181487   1.4178 0.1566514          
                idCHL          -6.714731   0.411622 -16.3128 < 2.2e-16 ***      
                idCHN          -1.092853   0.719261  -1.5194 0.1290590          
                idCOL          -8.844266   0.532432 -16.6111 < 2.2e-16 ***      
                idCRI          -6.522857   0.454958 -14.3373 < 2.2e-16 ***      
                idCZE          -2.901985   0.182674 -15.8861 < 2.2e-16 ***      
                idDEU           1.598268   0.254148   6.2887 5.294e-10 ***      
                idDNK          -1.384723   0.241687  -5.7294 1.433e-08 ***      
                idESP           0.019741   0.163523   0.1207 0.9039417          
                idEST           0.579737   0.537885   1.0778 0.2814479          
                idFIN           0.884716   0.262758   3.3670 0.0007965 ***      
                idFRA           1.026152   0.211405   4.8540 1.459e-06 ***      
                idGRC          -0.448039   0.189714  -2.3617 0.0184351 *        
                idHUN          -5.312562   0.334872 -15.8645 < 2.2e-16 ***      
                idIRL          -0.188559   0.292711  -0.6442 0.5196448          
                idISL          -5.150069   0.748616  -6.8795 1.223e-11 ***      
                idISR          -0.532945   0.185816  -2.8681 0.0042391 **       
                idITA           0.508060   0.197262   2.5756 0.0101883 *        
                idJPN          -2.867661   0.522904  -5.4841 5.596e-08 ***      
                idKOR          -5.459067   0.540046 -10.1085 < 2.2e-16 ***      
                idLTU          -0.042644   0.406601  -0.1049 0.9164976          
                idLUX          -0.358222   0.662511  -0.5407 0.5888637          
                idLVA           0.622155   0.466027   1.3350 0.1822551          
                idMEX          -3.848361   0.354651 -10.8511 < 2.2e-16 ***      
                idNLD           0.777760   0.100593   7.7317 3.229e-14 ***      
                idNOR          -2.272182   0.273213  -8.3165 3.950e-16 ***      
                idNZL          -0.165163   0.294002  -0.5618 0.5744293          
                idPOL          -1.053203   0.139864  -7.5302 1.385e-13 ***      
                idPRT          -0.351897   0.193840  -1.8154 0.0698422 .        
                idSVK           0.676300   0.338074   2.0005 0.0457935 *        
                idSVN           0.353659   0.452521   0.7815 0.4347244          
                idSWE          -1.385643   0.177663  -7.7993 1.968e-14 ***      
                idTUR          -1.254862   0.251315  -4.9932 7.312e-07 ***      
                idTWN          -0.072671   0.109818  -0.6617 0.5083315          
                idUSA           0.892778   0.477664   1.8690 0.0619858 .        
                time1996      -16.712203   3.321158  -5.0320 6.012e-07 ***      
                time1997      -16.718113   3.323842  -5.0298 6.082e-07 ***      
                time1998      -16.592274   3.325179  -4.9899 7.434e-07 ***      
                time1999      -16.599941   3.327323  -4.9890 7.468e-07 ***      
                time2000      -16.605472   3.329296  -4.9877 7.517e-07 ***      
                time2001      -16.509916   3.330736  -4.9568 8.771e-07 ***      
                time2002      -16.629352   3.331668  -4.9913 7.382e-07 ***      
                time2003      -16.537725   3.333716  -4.9607 8.602e-07 ***      
                time2004      -16.489536   3.336007  -4.9429 9.402e-07 ***      
                time2005      -16.405421   3.337931  -4.9148 1.081e-06 ***      
                time2006      -16.340801   3.340801  -4.8913 1.214e-06 ***      
                time2007      -16.275389   3.343415  -4.8679 1.362e-06 ***      
                time2008      -16.225634   3.343123  -4.8534 1.462e-06 ***      
                time2009      -16.145101   3.342615  -4.8301 1.639e-06 ***      
                time2010      -16.052994   3.343822  -4.8008 1.890e-06 ***      
                time2011      -16.067868   3.345420  -4.8029 1.871e-06 ***      
                time2012      -16.126578   3.346941  -4.8183 1.736e-06 ***      
                time2013      -16.203247   3.347542  -4.8403 1.559e-06 ***      
                time2014      -16.182900   3.349485  -4.8315 1.628e-06 ***      
                time2015      -16.202271   3.351272  -4.8347 1.603e-06 ***      
                time2016      -16.230038   3.352424  -4.8413 1.552e-06 ***      
                time2017      -16.251721   3.354640  -4.8445 1.527e-06 ***      
                time2018      -16.289345   3.356675  -4.8528 1.467e-06 ***      
                time2019      -16.322451   3.358490  -4.8601 1.416e-06 ***      
                iis122         -0.846561   0.193687  -4.3708 1.404e-05 ***      
                iis124         -0.878887   0.193385  -4.5447 6.361e-06 ***      
                iis174         -1.141842   0.200844  -5.6852 1.839e-08 ***      
                iis194          1.332810   0.211258   6.3089 4.677e-10 ***      
                iis196          0.900729   0.211070   4.2674 2.217e-05 ***      
                iis199          0.778972   0.210819   3.6950 0.0002351 ***      
                iis202          0.601541   0.230884   2.6054 0.0093498 **       
                iis203         -0.735015   0.232008  -3.1681 0.0015936 **       
                iis210         -0.957618   0.206278  -4.6424 4.032e-06 ***      
                iis212         -1.120097   0.206348  -5.4282 7.579e-08 ***      
                iis317          1.088500   0.210839   5.1627 3.083e-07 ***      
                iis322         -1.151826   0.207137  -5.5607 3.678e-08 ***      
                iis323         -1.714509   0.206516  -8.3021 4.418e-16 ***      
                iis385         -0.604394   0.204851  -2.9504 0.0032674 **       
                iis386          0.791238   0.204018   3.8783 0.0001140 ***      
                iis393         -0.893426   0.197068  -4.5336 6.697e-06 ***      
                iis394          0.686052   0.197688   3.4704 0.0005479 ***      
                iis397         -0.743283   0.196629  -3.7801 0.0001686 ***      
                iis410          0.973435   0.231451   4.2058 2.900e-05 ***      
                iis412         -0.880007   0.231349  -3.8038 0.0001535 ***      
                iis416         -0.626524   0.195052  -3.2121 0.0013711 **       
                iis459          0.535092   0.217603   2.4590 0.0141445 *        
                iis460         -0.810307   0.218247  -3.7128 0.0002194 ***      
                iis469         -0.902875   0.197978  -4.5605 5.914e-06 ***      
                iis474         -1.184138   0.197471  -5.9965 3.066e-09 ***      
                iis581          0.646220   0.195533   3.3049 0.0009929 ***      
                iis587         -0.937641   0.193080  -4.8562 1.442e-06 ***      
                iis589          0.940362   0.193585   4.8576 1.433e-06 ***      
                iis603          1.112243   0.197933   5.6193 2.658e-08 ***      
                iis625          0.650446   0.210911   3.0840 0.0021136 **       
                iis630          0.520910   0.210845   2.4706 0.0136994 *        
                iis632          1.240347   0.202222   6.1336 1.357e-09 ***      
                iis634         -0.557634   0.201521  -2.7671 0.0057876 **       
                iis638          1.247739   0.201340   6.1972 9.250e-10 ***      
                iis643         -0.800435   0.211641  -3.7820 0.0001673 ***      
                iis644         -1.295899   0.210597  -6.1534 1.204e-09 ***      
                iis645         -1.480970   0.210593  -7.0324 4.399e-12 ***      
                iis647         -0.883677   0.210804  -4.1919 3.078e-05 ***      
                iis653         -1.046890   0.193475  -5.4110 8.316e-08 ***      
                iis743         -0.508959   0.210473  -2.4182 0.0158242 *        
                iis747         -1.193014   0.193317  -6.1713 1.082e-09 ***      
                iis770         -0.945786   0.200160  -4.7252 2.721e-06 ***      
                iis788          0.465631   0.195299   2.3842 0.0173516 *        
                iis800          0.729229   0.193499   3.7686 0.0001763 ***      
                iis818         -0.835041   0.193321  -4.3195 1.763e-05 ***      
                iis828         -0.830856   0.192531  -4.3154 1.795e-05 ***      
                iis868         -1.482795   0.196952  -7.5287 1.400e-13 ***      
                iis872         -0.581213   0.196353  -2.9600 0.0031679 **       
                fesisAUS.2005  -0.374459   0.082648  -4.5308 6.784e-06 ***      
                fesisCHN.2002   0.570781   0.108309   5.2699 1.762e-07 ***      
                fesisCHN.2016   0.417652   0.115956   3.6018 0.0003358 ***      
                fesisCOL.1999   1.022063   0.172519   5.9243 4.678e-09 ***      
                fesisCOL.2001  -0.532060   0.149529  -3.5583 0.0003956 ***      
                fesisCOL.2010  -0.358522   0.128164  -2.7974 0.0052773 **       
                fesisCOL.2013   0.498356   0.130199   3.8276 0.0001396 ***      
                fesisCRI.1997  -0.453491   0.211082  -2.1484 0.0319841 *        
                fesisCRI.2004   0.616925   0.164300   3.7549 0.0001862 ***      
                fesisCRI.2008  -1.203290   0.158729  -7.5808 9.640e-14 ***      
                fesisCRI.2013   0.695775   0.119633   5.8159 8.755e-09 ***      
                fesisDNK.2007   0.527159   0.079628   6.6202 6.620e-11 ***      
                fesisESP.2004   0.439336   0.083523   5.2601 1.856e-07 ***      
                fesisEST.1999  -0.729998   0.144632  -5.0473 5.566e-07 ***      
                fesisEST.2004   0.870699   0.127667   6.8201 1.809e-11 ***      
                fesisEST.2011  -0.446272   0.105908  -4.2138 2.801e-05 ***      
                fesisGRC.2004   0.346630   0.096037   3.6093 0.0003263 ***      
                fesisHUN.2000   0.518990   0.173375   2.9935 0.0028444 **       
                fesisHUN.2003  -0.392688   0.119698  -3.2807 0.0010810 **       
                fesisISL.2001  -0.846954   0.217690  -3.8906 0.0001084 ***      
                fesisISL.2002   0.960394   0.203563   4.7179 2.817e-06 ***      
                fesisISL.2008  -0.236502   0.098393  -2.4036 0.0164618 *        
                fesisKOR.2003   0.518520   0.088910   5.8320 7.984e-09 ***      
                fesisLUX.2007  -0.338875   0.084211  -4.0241 6.269e-05 ***      
                fesisLVA.2002  -0.833538   0.123825  -6.7316 3.226e-11 ***      
                fesisLVA.2012   0.606567   0.122188   4.9642 8.454e-07 ***      
                fesisMEX.1998   0.675172   0.141948   4.7565 2.342e-06 ***      
                fesisNZL.2015  -0.412432   0.105532  -3.9081 0.0001010 ***      
                fesisPRT.2005   0.340724   0.086506   3.9387 8.915e-05 ***      
                fesisSVK.1998  -0.529066   0.140903  -3.7548 0.0001862 ***      
                fesisTUR.1999   0.654795   0.124461   5.2611 1.846e-07 ***      
                fesisTUR.2013   0.271306   0.094631   2.8670 0.0042542 **       
                fesisTWN.2002   1.049830   0.097816  10.7328 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                     Chi-sq df   p-value          
                Ljung-Box AR(1)    0.090765  1    0.7632          
                Ljung-Box ARCH(1) 20.733860  1 5.277e-06 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.18573      
                R-squared          0.99423      
                Log-lik.(n=936)  320.57315      

top_25

Count

0.01

                Formula: count~ gdp + pop      
                top_25 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Tue Jan  9 17:38:09 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            9.4402e-01  9.0526e-03 104.2807 < 2.2e-16 ***      
                gdp           -3.0045e-13  1.3446e-13  -2.2345 0.0258757 *        
                pop            1.9659e-07  1.1923e-07   1.6489 0.0997818 .        
                idAUT          9.2670e+00  1.9399e+01   0.4777 0.6330589          
                idBEL         -1.5811e+00  1.9387e+01  -0.0816 0.9350344          
                idBRA         -4.2170e+01  2.7903e+01  -1.5113 0.1313144          
                idCAN          2.4270e+01  1.9520e+01   1.2434 0.2142924          
                idCHE          3.9639e+00  1.9404e+01   0.2043 0.8382173          
                idCHN         -1.9121e+02  1.5112e+02  -1.2653 0.2063260          
                idDEU          2.5009e+02  3.0483e+01   8.2042 1.842e-15 ***      
                idDNK          1.4380e+01  1.9434e+01   0.7400 0.4596529          
                idESP         -4.2392e+00  1.9532e+01  -0.2170 0.8282637          
                idFIN         -2.9649e-01  1.9436e+01  -0.0153 0.9878344          
                idFRA          7.0817e+01  2.1039e+01   3.3659 0.0008193 ***      
                idGBR          4.1807e+01  2.0429e+01   2.0464 0.0412163 *        
                idIND         -1.9312e+02  1.3856e+02  -1.3938 0.1639824          
                idISR         -2.0905e-01  1.9415e+01  -0.0108 0.9914131          
                idITA          1.1416e+01  1.9900e+01   0.5737 0.5664519          
                idJPN          5.1849e+02  7.4534e+01   6.9564 1.055e-11 ***      
                idKOR          3.2796e+02  1.1693e+02   2.8047 0.0052255 **       
                idNLD          1.3179e+01  1.9368e+01   0.6804 0.4965321          
                idNOR         -4.2452e+00  1.9479e+01  -0.2179 0.8275607          
                idRUS         -1.1121e+01  2.4549e+01  -0.4530 0.6507194          
                idSGP         -6.4416e+00  1.9475e+01  -0.3308 0.7409518          
                idSWE          9.7711e+00  1.9401e+01   0.5036 0.6147317          
                idTWN          3.8355e+01  1.9520e+01   1.9649 0.0499588 *        
                idUSA          3.2532e+02  4.7210e+01   6.8909 1.612e-11 ***      
                time1996      -1.0506e+01  1.9127e+01  -0.5493 0.5830693          
                time1997      -1.3473e+01  1.9102e+01  -0.7053 0.4809261          
                time1998      -4.9759e+00  1.9112e+01  -0.2604 0.7946902          
                time1999       3.8197e+00  1.9246e+01   0.1985 0.8427585          
                time2000       1.3300e+01  1.9245e+01   0.6911 0.4898242          
                time2001       6.2724e+00  1.9082e+01   0.3287 0.7425127          
                time2002      -7.7140e+00  1.9103e+01  -0.4038 0.6865179          
                time2003      -1.0733e+01  1.9357e+01  -0.5545 0.5795093          
                time2004       2.9823e+01  1.9189e+01   1.5541 0.1207596          
                time2005       2.1698e+01  1.9173e+01   1.1317 0.2582865          
                time2006       3.9547e+01  1.9204e+01   2.0593 0.0399672 *        
                time2007       5.8635e+01  1.9464e+01   3.0125 0.0027178 **       
                time2008       3.0360e+01  1.9319e+01   1.5715 0.1166771          
                time2009       5.7072e+01  1.9620e+01   2.9088 0.0037834 **       
                time2010       6.3151e+01  1.9770e+01   3.1943 0.0014867 **       
                time2011       2.9744e+01  1.9891e+01   1.4954 0.1354151          
                time2012      -5.5563e+00  1.9957e+01  -0.2784 0.7808060          
                time2013      -2.2741e+01  2.0194e+01  -1.1261 0.2606332          
                time2014      -1.3325e+01  1.9850e+01  -0.6713 0.5023334          
                time2015      -1.0729e+01  1.9889e+01  -0.5394 0.5898175          
                time2016       1.4199e+01  1.9840e+01   0.7157 0.4745066          
                time2017       2.7943e+01  2.0167e+01   1.3856 0.1664773          
                time2018       1.5163e+01  2.0033e+01   0.7569 0.4494649          
                time2019      -4.2608e+01  2.0224e+01  -2.1068 0.0356184 *        
                iis165         8.7494e+02  7.3253e+01  11.9441 < 2.2e-16 ***      
                iis166         6.7907e+02  7.5175e+01   9.0333 < 2.2e-16 ***      
                iis167         5.1781e+02  7.7200e+01   6.7073 5.193e-11 ***      
                iis168         4.1987e+02  7.9158e+01   5.3042 1.678e-07 ***      
                iis186        -4.9400e+02  7.0766e+01  -6.9808 9.009e-12 ***      
                iis388         4.4298e+02  7.2652e+01   6.0973 2.107e-09 ***      
                iis389         5.4576e+02  7.1965e+01   7.5836 1.562e-13 ***      
                iis392         3.4877e+02  7.1720e+01   4.8629 1.535e-06 ***      
                iis398         7.2681e+02  8.2408e+01   8.8197 < 2.2e-16 ***      
                iis399         1.9803e+03  8.1123e+01  24.4116 < 2.2e-16 ***      
                iis400         1.0825e+03  7.9015e+01  13.7004 < 2.2e-16 ***      
                iis402        -2.8295e+02  7.9143e+01  -3.5752 0.0003826 ***      
                iis408        -1.5275e+03  7.9131e+01 -19.3033 < 2.2e-16 ***      
                iis428        -5.6584e+02  7.3268e+01  -7.7229 5.900e-14 ***      
                iis430        -5.0421e+02  7.4768e+01  -6.7437 4.127e-11 ***      
                iis588         3.2084e+02  7.4206e+01   4.3236 1.841e-05 ***      
                iis593         8.7062e+02  8.3942e+01  10.3717 < 2.2e-16 ***      
                iis594         5.8448e+02  8.3955e+01   6.9618 1.019e-11 ***      
                iis595        -8.3691e+02  8.4174e+01  -9.9426 < 2.2e-16 ***      
                iis598        -4.3048e+02  8.3878e+01  -5.1322 4.055e-07 ***      
                iis599        -4.0598e+02  8.3909e+01  -4.8384 1.729e-06 ***      
                iis600        -6.9004e+02  8.4194e+01  -8.1959 1.958e-15 ***      
                fesisCHN.2008  2.5303e+02  3.3536e+01   7.5448 2.044e-13 ***      
                fesisJPN.2009 -1.6932e+02  5.5763e+01  -3.0363 0.0025152 **       
                fesisJPN.2016  3.8196e+02  5.6161e+01   6.8011 2.866e-11 ***      
                fesisKOR.2003  2.9984e+02  5.8570e+01   5.1193 4.327e-07 ***      
                fesisKOR.2009  6.4805e+02  6.1497e+01  10.5380 < 2.2e-16 ***      
                fesisKOR.2011 -3.3314e+02  6.5705e+01  -5.0702 5.538e-07 ***      
                fesisUSA.2005  4.0535e+02  4.4682e+01   9.0720 < 2.2e-16 ***      
                fesisUSA.2012 -3.4765e+02  5.9921e+01  -5.8018 1.142e-08 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df  p-value          
                Ljung-Box AR(1)    2.6435  1    0.104          
                Ljung-Box ARCH(1) 31.4276  1 2.07e-08 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    66.9905      
                R-squared            0.9988      
                Log-lik.(n=600)  -3333.5934      
0.05

                Formula: count~ gdp + pop      
                top_25 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Tue Jan  9 17:38:10 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            9.2256e-01  8.6311e-03 106.8880 < 2.2e-16 ***      
                gdp           -1.6035e-13  1.3633e-13  -1.1762 0.2400737          
                pop            1.6959e-07  9.2716e-08   1.8291 0.0679768 .        
                idAUT          9.6429e+00  1.4584e+01   0.6612 0.5087921          
                idBEL         -3.0856e+00  1.4577e+01  -0.2117 0.8324395          
                idBRA         -4.0826e+01  2.1351e+01  -1.9121 0.0564307 .        
                idCAN          2.9774e+01  1.4729e+01   2.0215 0.0437598 *        
                idCHE          3.9505e+00  1.4588e+01   0.2708 0.7866547          
                idCHN         -1.5790e+02  1.1698e+02  -1.3498 0.1776805          
                idDEU          2.2039e+02  2.4100e+01   9.1447 < 2.2e-16 ***      
                idDNK          1.4745e+01  1.4615e+01   1.0089 0.3135167          
                idESP         -3.9985e+00  1.4694e+01  -0.2721 0.7856418          
                idFIN         -1.6658e+00  1.4613e+01  -0.1140 0.9092887          
                idFRA          8.7044e+01  1.6260e+01   5.3532 1.314e-07 ***      
                idGBR          5.3076e+01  1.5577e+01   3.4072 0.0007086 ***      
                idIND         -1.7149e+02  1.0634e+02  -1.6127 0.1074397          
                idISR         -1.5669e+00  1.4598e+01  -0.1073 0.9145664          
                idITA          1.5648e+01  1.5001e+01   1.0431 0.2973868          
                idJPN          4.2034e+02  7.1913e+01   5.8451 9.089e-09 ***      
                idKOR          2.1077e+02  1.1694e+02   1.8023 0.0720895 .        
                idNLD          1.5318e+01  1.4569e+01   1.0514 0.2935651          
                idNOR         -7.3750e+00  1.4663e+01  -0.5030 0.6152062          
                idRUS         -1.9469e+01  1.8854e+01  -1.0326 0.3022892          
                idSGP         -9.5205e+00  1.4655e+01  -0.6496 0.5162274          
                idSWE          1.0023e+01  1.4592e+01   0.6868 0.4925037          
                idTWN          4.4700e+01  1.4754e+01   3.0297 0.0025734 **       
                idUSA          3.7863e+02  3.7673e+01  10.0504 < 2.2e-16 ***      
                time1996      -4.3646e+00  1.4414e+01  -0.3028 0.7621705          
                time1997      -6.8752e+00  1.4386e+01  -0.4779 0.6329138          
                time1998      -5.8236e+00  1.4510e+01  -0.4014 0.6883212          
                time1999       7.5704e+00  1.4485e+01   0.5226 0.6014559          
                time2000       1.7340e+01  1.4480e+01   1.1975 0.2316919          
                time2001       1.6076e+01  1.4376e+01   1.1183 0.2639915          
                time2002       2.4549e+00  1.4400e+01   0.1705 0.8647042          
                time2003      -4.7497e+00  1.4615e+01  -0.3250 0.7453304          
                time2004       2.6894e+01  1.4610e+01   1.8408 0.0662360 .        
                time2005       1.8973e+01  1.4568e+01   1.3024 0.1933794          
                time2006       3.8021e+01  1.4471e+01   2.6275 0.0088640 **       
                time2007       4.1802e+01  1.4779e+01   2.8284 0.0048637 **       
                time2008       3.2323e+01  1.4602e+01   2.2136 0.0273047 *        
                time2009       5.1300e+01  1.4905e+01   3.4418 0.0006259 ***      
                time2010       6.5413e+01  1.5043e+01   4.3484 1.660e-05 ***      
                time2011       3.1848e+01  1.5108e+01   2.1080 0.0355243 *        
                time2012       1.7423e+01  1.5271e+01   1.1410 0.2544247          
                time2013      -1.2657e+01  1.5306e+01  -0.8269 0.4086717          
                time2014      -1.0025e+01  1.5151e+01  -0.6617 0.5084754          
                time2015      -1.0436e+01  1.5261e+01  -0.6838 0.4943971          
                time2016       6.9198e+00  1.5126e+01   0.4575 0.6475317          
                time2017       3.2743e+01  1.5228e+01   2.1502 0.0320167 *        
                time2018       2.5990e+01  1.5204e+01   1.7094 0.0879835 .        
                time2019      -7.1808e+00  1.5459e+01  -0.4645 0.6424830          
                iis164         2.2146e+02  5.5513e+01   3.9894 7.604e-05 ***      
                iis165         9.3417e+02  5.5970e+01  16.6906 < 2.2e-16 ***      
                iis166         7.4842e+02  5.8235e+01  12.8519 < 2.2e-16 ***      
                iis167         5.9808e+02  6.0697e+01   9.8535 < 2.2e-16 ***      
                iis168         4.8776e+02  6.3099e+01   7.7301 5.853e-14 ***      
                iis186        -2.3819e+02  7.2843e+01  -3.2699 0.0011491 **       
                iis192        -5.3214e+02  5.6648e+01  -9.3938 < 2.2e-16 ***      
                iis387         2.0859e+02  5.6913e+01   3.6650 0.0002735 ***      
                iis388         5.4409e+02  5.6379e+01   9.6505 < 2.2e-16 ***      
                iis389         6.5911e+02  5.5692e+01  11.8349 < 2.2e-16 ***      
                iis392         4.7631e+02  5.5559e+01   8.5732 < 2.2e-16 ***      
                iis393         3.6236e+02  5.5832e+01   6.4901 2.052e-10 ***      
                iis394         3.0944e+02  5.6326e+01   5.4938 6.246e-08 ***      
                iis396         4.1533e+02  5.6733e+01   7.3208 9.787e-13 ***      
                iis398         3.1434e+02  6.2412e+01   5.0365 6.609e-07 ***      
                iis399         1.5717e+03  6.1000e+01  25.7649 < 2.2e-16 ***      
                iis400         7.1472e+02  5.9691e+01  11.9738 < 2.2e-16 ***      
                iis401        -4.1024e+02  6.0599e+01  -6.7697 3.592e-11 ***      
                iis402        -6.5017e+02  6.0026e+01 -10.8316 < 2.2e-16 ***      
                iis403        -2.6125e+02  5.9566e+01  -4.3859 1.406e-05 ***      
                iis404        -4.4789e+02  5.9505e+01  -7.5268 2.405e-13 ***      
                iis408        -1.5544e+03  5.9572e+01 -26.0929 < 2.2e-16 ***      
                iis422         4.2218e+02  6.4709e+01   6.5242 1.664e-10 ***      
                iis423         2.7694e+02  5.9869e+01   4.6257 4.749e-06 ***      
                iis428        -8.2679e+02  7.3208e+01 -11.2936 < 2.2e-16 ***      
                iis430        -3.6595e+02  6.3952e+01  -5.7223 1.803e-08 ***      
                iis588         3.1963e+02  5.5922e+01   5.7156 1.871e-08 ***      
                iis593         8.3452e+02  6.3260e+01  13.1920 < 2.2e-16 ***      
                iis594         5.8012e+02  6.3170e+01   9.1836 < 2.2e-16 ***      
                iis595        -8.2319e+02  6.3515e+01 -12.9605 < 2.2e-16 ***      
                iis598        -4.3830e+02  6.3073e+01  -6.9491 1.139e-11 ***      
                iis599        -4.2875e+02  6.3156e+01  -6.7888 3.183e-11 ***      
                iis600        -7.4558e+02  6.3513e+01 -11.7389 < 2.2e-16 ***      
                fesisCHN.2008  2.5023e+02  2.6457e+01   9.4578 < 2.2e-16 ***      
                fesisDEU.2006  3.0548e+02  2.8935e+01  10.5572 < 2.2e-16 ***      
                fesisDEU.2012 -4.5487e+02  5.6265e+01  -8.0844 4.657e-15 ***      
                fesisDEU.2014  2.7703e+02  5.6696e+01   4.8861 1.383e-06 ***      
                fesisJPN.2009  4.0755e+02  4.6626e+01   8.7408 < 2.2e-16 ***      
                fesisKOR.2003  2.8128e+02  5.3489e+01   5.2586 2.147e-07 ***      
                fesisKOR.2009  2.9620e+02  5.8943e+01   5.0251 6.994e-07 ***      
                fesisKOR.2015  2.8237e+02  6.1657e+01   4.5797 5.872e-06 ***      
                fesisKOR.2017 -4.1575e+02  6.5246e+01  -6.3721 4.206e-10 ***      
                fesisUSA.2005  4.7901e+02  3.7315e+01  12.8369 < 2.2e-16 ***      
                fesisUSA.2012 -2.9178e+02  4.6945e+01  -6.2154 1.073e-09 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    1.1023  1 0.2937692          
                Ljung-Box ARCH(1) 12.8402  1 0.0003393 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    50.35477      
                R-squared            0.99934      
                Log-lik.(n=600)  -3155.31910      

Log Count

0.01

                Formula: log_count~ lgdp + lpop      
                top_25 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Tue Jan  9 17:48:08 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1            0.769612  0.018196 42.2968 < 2.2e-16 ***      
                lgdp           0.390235  0.056716  6.8805 1.682e-11 ***      
                lpop          -0.215523  0.168253 -1.2809 0.2007726          
                idAUT          0.341424  0.152789  2.2346 0.0258579 *        
                idBEL          0.201930  0.114969  1.7564 0.0795960 .        
                idBRA         -0.296756  0.371767 -0.7982 0.4250928          
                idCAN          0.135743  0.095699  1.4184 0.1566513          
                idCHE          0.046312  0.160119  0.2892 0.7725145          
                idCHN         -0.015644  0.672934 -0.0232 0.9814619          
                idDEU          0.567928  0.236731  2.3990 0.0167812 *        
                idDNK         -0.573704  0.230906 -2.4846 0.0132769 *        
                idESP          0.160826  0.146727  1.0961 0.2735341          
                idFIN          0.302528  0.219440  1.3786 0.1685852          
                idFRA          0.383372  0.197469  1.9414 0.0527336 .        
                idGBR          0.367163  0.194436  1.8883 0.0595235 .        
                idIND         -0.547010  0.648826 -0.8431 0.3995650          
                idISR         -0.226267  0.172370 -1.3127 0.1898566          
                idITA          0.209131  0.184676  1.1324 0.2579663          
                idJPN         -1.190650  0.360164 -3.3059 0.0010107 **       
                idKOR         -1.971885  0.352445 -5.5949 3.537e-08 ***      
                idNLD          0.278759  0.067521  4.1285 4.239e-05 ***      
                idNOR         -0.887766  0.265049 -3.3494 0.0008672 ***      
                idRUS         -1.422813  0.348695 -4.0804 5.186e-05 ***      
                idSGP         -0.330478  0.257418 -1.2838 0.1997645          
                idSWE         -0.580115  0.161840 -3.5845 0.0003688 ***      
                idTWN          0.339015  0.061943  5.4730 6.826e-08 ***      
                idUSA          0.317565  0.434712  0.7305 0.4653946          
                time1996      -6.056385  2.756590 -2.1971 0.0284468 *        
                time1997      -6.114230  2.757661 -2.2172 0.0270327 *        
                time1998      -5.996418  2.758066 -2.1741 0.0301348 *        
                time1999      -6.049879  2.759053 -2.1927 0.0287586 *        
                time2000      -6.038324  2.759123 -2.1885 0.0290677 *        
                time2001      -6.025058  2.760218 -2.1828 0.0294856 *        
                time2002      -6.064921  2.761112 -2.1965 0.0284833 *        
                time2003      -5.988356  2.762096 -2.1680 0.0305977 *        
                time2004      -5.967581  2.763035 -2.1598 0.0312348 *        
                time2005      -5.927692  2.762579 -2.1457 0.0323480 *        
                time2006      -5.921121  2.763580 -2.1426 0.0326020 *        
                time2007      -5.884267  2.764544 -2.1285 0.0337565 *        
                time2008      -5.891605  2.765862 -2.1301 0.0336203 *        
                time2009      -5.846359  2.765983 -2.1137 0.0350088 *        
                time2010      -5.832698  2.767127 -2.1079 0.0355108 *        
                time2011      -5.856135  2.767987 -2.1157 0.0348373 *        
                time2012      -5.921320  2.768945 -2.1385 0.0329330 *        
                time2013      -6.006299  2.770248 -2.1681 0.0305903 *        
                time2014      -5.968390  2.771966 -2.1531 0.0317577 *        
                time2015      -5.996979  2.773335 -2.1624 0.0310346 *        
                time2016      -5.931644  2.774834 -2.1377 0.0329997 *        
                time2017      -5.951830  2.775936 -2.1441 0.0324790 *        
                time2018      -5.949825  2.777021 -2.1425 0.0326048 *        
                time2019      -6.050352  2.777975 -2.1780 0.0298466 *        
                iis83          0.751448  0.126966  5.9185 5.826e-09 ***      
                iis147        -0.528853  0.130606 -4.0492 5.903e-05 ***      
                iis204         0.402986  0.128997  3.1240 0.0018813 **       
                iis481         0.501227  0.129661  3.8657 0.0001245 ***      
                iis483         0.532419  0.130070  4.0933 4.913e-05 ***      
                iis485         0.632699  0.128980  4.9054 1.241e-06 ***      
                iis505        -0.384872  0.144550 -2.6626 0.0079896 **       
                iis506        -1.114263  0.145445 -7.6611 8.782e-14 ***      
                iis507         1.734835  0.149032 11.6407 < 2.2e-16 ***      
                iis508         0.784720  0.143640  5.4631 7.196e-08 ***      
                iis517         0.501190  0.128819  3.8906 0.0001127 ***      
                fesisAUS.2005 -0.174592  0.056137 -3.1101 0.0019706 **       
                fesisDNK.2005  0.172107  0.054791  3.1412 0.0017763 **       
                fesisIND.1998 -0.546548  0.124545 -4.3884 1.378e-05 ***      
                fesisIND.2000  0.413270  0.094738  4.3623 1.546e-05 ***      
                fesisSGP.2003  0.565600  0.113639  4.9772 8.728e-07 ***      
                fesisSGP.2005 -0.365040  0.097649 -3.7383 0.0002053 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   12.596  1 0.0003866 ***      
                Ljung-Box ARCH(1) 41.246  1 1.342e-10 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.12171      
                R-squared          0.99425      
                Log-lik.(n=600)  446.29353      
0.05

                Formula: log_count~ lgdp + lpop      
                top_25 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Tue Jan  9 17:49:33 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error  t-stat   p-value          
                ar1             0.734401   0.020263 36.2429 < 2.2e-16 ***      
                lgdp            0.311427   0.063784  4.8825 1.400e-06 ***      
                lpop            0.376702   0.183450  2.0534 0.0405350 *        
                idAUT           0.735229   0.161748  4.5455 6.837e-06 ***      
                idBEL           0.436595   0.119677  3.6481 0.0002911 ***      
                idBRA          -1.632466   0.406869 -4.0123 6.906e-05 ***      
                idCAN          -0.388175   0.143535 -2.7044 0.0070695 **       
                idCHE           0.533700   0.169807  3.1430 0.0017687 **       
                idCHN          -2.433095   0.737097 -3.3009 0.0010305 **       
                idDEU          -0.132521   0.251540 -0.5268 0.5985322          
                idDNK           0.251309   0.249824  1.0059 0.3149145          
                idESP          -0.357298   0.159569 -2.2391 0.0255728 *        
                idFIN           0.908422   0.233716  3.8869 0.0001148 ***      
                idFRA          -0.233257   0.210773 -1.1067 0.2689513          
                idGBR          -0.254361   0.208184 -1.2218 0.2223388          
                idIND          -2.712545   0.702989 -3.8586 0.0001285 ***      
                idISR           0.408093   0.196668  2.0750 0.0384793 *        
                idITA          -0.405580   0.198719 -2.0410 0.0417628 *        
                idJPN          -1.710272   0.391510 -4.3684 1.514e-05 ***      
                idKOR          -1.905898   0.393565 -4.8426 1.697e-06 ***      
                idNLD           0.334587   0.067245  4.9756 8.880e-07 ***      
                idNOR          -0.056683   0.285545 -0.1985 0.8427254          
                idRUS          -2.582851   0.398928 -6.4745 2.222e-10 ***      
                idSGP           0.373011   0.270888  1.3770 0.1691132          
                idSWE          -0.057786   0.175647 -0.3290 0.7422982          
                idTWN           0.011430   0.076766  0.1489 0.8816996          
                idUSA          -0.993925   0.464856 -2.1381 0.0329757 *        
                time1996      -13.601210   2.971473 -4.5773 5.912e-06 ***      
                time1997      -13.683267   2.971917 -4.6042 5.223e-06 ***      
                time1998      -13.584581   2.972433 -4.5702 6.107e-06 ***      
                time1999      -13.600340   2.973331 -4.5741 5.998e-06 ***      
                time2000      -13.607423   2.973771 -4.5758 5.951e-06 ***      
                time2001      -13.599818   2.974812 -4.5717 6.066e-06 ***      
                time2002      -13.638626   2.975661 -4.5834 5.748e-06 ***      
                time2003      -13.544814   2.976538 -4.5505 6.682e-06 ***      
                time2004      -13.549867   2.977211 -4.5512 6.662e-06 ***      
                time2005      -13.510073   2.976201 -4.5394 7.031e-06 ***      
                time2006      -13.465065   2.977507 -4.5223 7.600e-06 ***      
                time2007      -13.435558   2.978535 -4.5108 8.007e-06 ***      
                time2008      -13.442490   2.979798 -4.5112 7.992e-06 ***      
                time2009      -13.392850   2.978618 -4.4963 8.549e-06 ***      
                time2010      -13.376183   2.979729 -4.4891 8.834e-06 ***      
                time2011      -13.397316   2.980521 -4.4950 8.602e-06 ***      
                time2012      -13.463162   2.981462 -4.5156 7.833e-06 ***      
                time2013      -13.539470   2.983027 -4.5388 7.048e-06 ***      
                time2014      -13.518845   2.984845 -4.5292 7.366e-06 ***      
                time2015      -13.559281   2.986381 -4.5404 6.999e-06 ***      
                time2016      -13.497861   2.988053 -4.5173 7.775e-06 ***      
                time2017      -13.517963   2.989199 -4.5223 7.600e-06 ***      
                time2018      -13.516773   2.990348 -4.5201 7.674e-06 ***      
                time2019      -13.618130   2.991349 -4.5525 6.622e-06 ***      
                iis83           0.737677   0.114040  6.4686 2.304e-10 ***      
                iis98           0.302275   0.114582  2.6381 0.0085903 **       
                iis147         -0.398100   0.125074 -3.1829 0.0015460 **       
                iis193         -0.327964   0.119588 -2.7424 0.0063109 **       
                iis196         -0.246404   0.119409 -2.0635 0.0395634 *        
                iis204          0.382657   0.116764  3.2772 0.0011192 **       
                iis317          0.342899   0.117951  2.9071 0.0038049 **       
                iis344         -0.436742   0.116616 -3.7451 0.0002006 ***      
                iis345          0.311159   0.116885  2.6621 0.0080085 **       
                iis354         -0.295719   0.117002 -2.5275 0.0117867 *        
                iis459          0.455437   0.114430  3.9800 7.880e-05 ***      
                iis481          0.653684   0.158133  4.1338 4.166e-05 ***      
                iis483          0.470513   0.118691  3.9642 8.406e-05 ***      
                iis485          0.586335   0.117257  5.0004 7.857e-07 ***      
                iis490          0.356391   0.114696  3.1073 0.0019924 **       
                iis505         -0.404391   0.130312 -3.1033 0.0020192 **       
                iis506         -1.135558   0.131463 -8.6379 < 2.2e-16 ***      
                iis507          1.674381   0.136666 12.2517 < 2.2e-16 ***      
                iis508          0.762091   0.129087  5.9037 6.455e-09 ***      
                iis517          0.501435   0.115789  4.3306 1.788e-05 ***      
                fesisAUS.2005  -0.241990   0.052206 -4.6352 4.524e-06 ***      
                fesisCAN.1997   0.255212   0.114823  2.2226 0.0266729 *        
                fesisCHN.2001   0.207825   0.073840  2.8145 0.0050721 **       
                fesisCHN.2015   0.212240   0.067586  3.1403 0.0017848 **       
                fesisDNK.2005   0.341926   0.119352  2.8649 0.0043424 **       
                fesisDNK.2006  -0.493956   0.158005 -3.1262 0.0018708 **       
                fesisDNK.2007   0.289969   0.116627  2.4863 0.0132242 *        
                fesisIND.1998  -0.526889   0.111981 -4.7052 3.264e-06 ***      
                fesisIND.2000   0.412191   0.087488  4.7114 3.170e-06 ***      
                fesisISR.2009  -0.170195   0.056328 -3.0215 0.0026404 **       
                fesisRUS.1998   0.259490   0.118659  2.1869 0.0292025 *        
                fesisSGP.2003   0.567390   0.102107  5.5568 4.412e-08 ***      
                fesisSGP.2005  -0.420868   0.089249 -4.7156 3.107e-06 ***      
                fesisTWN.2001   0.272802   0.067631  4.0337 6.323e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    2.5945  1 0.1072322          
                Ljung-Box ARCH(1) 13.8047  1 0.0002028 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.10920      
                R-squared          0.99552      
                Log-lik.(n=600)  519.85787      

top_50

Count

0.01

                Formula: count~ gdp + pop      
                top_50 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Tue Jan  9 17:46:28 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 1200       
                Sample: 1 to 1200       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            9.4397e-01  5.8312e-03 161.8843 < 2.2e-16 ***      
                gdp           -1.6303e-15  2.6199e-15  -0.6223 0.5338832          
                pop            3.9755e-07  8.8221e-08   4.5063 7.317e-06 ***      
                idAUS          2.1905e+01  9.8033e+00   2.2344 0.0256597 *        
                idAUT          3.4149e+01  1.0092e+01   3.3837 0.0007410 ***      
                idBEL          2.2794e+01  9.9720e+00   2.2858 0.0224594 *        
                idBGR          1.3027e+01  1.0011e+01   1.3013 0.1934455          
                idBRA         -5.4877e+01  1.6373e+01  -3.3517 0.0008312 ***      
                idCAN          4.3731e+01  9.9306e+00   4.4036 1.171e-05 ***      
                idCHE          2.8890e+01  1.0096e+01   2.8616 0.0042965 **       
                idCHL          1.0569e+01  9.8249e+00   1.0758 0.2822655          
                idCHN         -4.1306e+02  1.0976e+02  -3.7632 0.0001768 ***      
                idCZE          1.4197e+01  9.9468e+00   1.4273 0.1537880          
                idDEU          1.9259e+02  1.6040e+01  12.0073 < 2.2e-16 ***      
                idDNK          3.9356e+01  1.0179e+01   3.8665 0.0001170 ***      
                idESP          1.3226e+01  9.6384e+00   1.3722 0.1702859          
                idFIN          2.5222e+01  1.0116e+01   2.4932 0.0128102 *        
                idFRA          8.4058e+01  1.0994e+01   7.6459 4.586e-14 ***      
                idGBR          5.5523e+01  1.0430e+01   5.3233 1.240e-07 ***      
                idGRC          1.2156e+01  9.9330e+00   1.2238 0.2212931          
                idHKG          1.5166e+01  1.0030e+01   1.5120 0.1308172          
                idHUN          1.3114e+01  9.9556e+00   1.3173 0.1880293          
                idIND         -4.0077e+02  9.6246e+01  -4.1640 3.377e-05 ***      
                idIRL          1.7707e+01  1.0102e+01   1.7528 0.0799160 .        
                idIRN          5.8170e+00  3.1277e+01   0.1860 0.8524949          
                idISR          2.4690e+01  1.0065e+01   2.4531 0.0143201 *        
                idITA          2.5785e+01  9.8871e+00   2.6079 0.0092354 **       
                idJPN          3.4019e+02  2.8999e+01  11.7312 < 2.2e-16 ***      
                idKOR          8.1312e+01  1.4777e+01   5.5027 4.675e-08 ***      
                idLUX          1.6296e+01  1.0208e+01   1.5964 0.1106918          
                idMEX         -2.5695e+01  1.1348e+01  -2.2644 0.0237504 *        
                idMYS          7.0276e+00  9.6613e+00   0.7274 0.4671413          
                idNLD          3.6336e+01  9.9786e+00   3.6414 0.0002840 ***      
                idNOR          2.0598e+01  1.0100e+01   2.0394 0.0416566 *        
                idNZL          1.6009e+01  1.0104e+01   1.5843 0.1134127          
                idPHL         -1.9848e+01  1.0573e+01  -1.8772 0.0607609 .        
                idPOL          4.7301e+00  9.5955e+00   0.4930 0.6221480          
                idPRT          1.3118e+01  9.9447e+00   1.3191 0.1874003          
                idROU          7.9407e+00  9.7401e+00   0.8153 0.4151021          
                idRUS         -3.4416e+01  1.3277e+01  -2.5922 0.0096664 **       
                idSAU          1.0373e+01  9.6622e+00   1.0736 0.2832635          
                idSGP          1.9160e+01  1.0097e+01   1.8976 0.0580193 .        
                idSVK          1.4256e+01  1.0068e+01   1.4159 0.1570954          
                idSVN          1.5598e+01  1.0163e+01   1.5349 0.1251143          
                idSWE          3.3459e+01  1.0080e+01   3.3193 0.0009326 ***      
                idTHA         -1.0137e+01  9.8746e+00  -1.0266 0.3048599          
                idTUR         -7.8743e+00  9.9813e+00  -0.7889 0.4303454          
                idTWN          6.0150e+01  1.0122e+01   5.9422 3.793e-09 ***      
                idUKR         -1.1851e+00  9.6112e+00  -0.1233 0.9018931          
                idUSA          2.8421e+02  2.8169e+01  10.0892 < 2.2e-16 ***      
                idVNM         -1.3764e+01  1.2206e+01  -1.1277 0.2597170          
                idZAF         -2.4023e+00  9.6392e+00  -0.2492 0.8032330          
                time1996      -2.2369e+01  8.7675e+00  -2.5514 0.0108669 *        
                time1997      -2.4000e+01  8.7846e+00  -2.7321 0.0063967 **       
                time1998      -2.2776e+01  8.8171e+00  -2.5831 0.0099220 **       
                time1999      -1.6628e+01  8.8393e+00  -1.8812 0.0602138 .        
                time2000      -1.3083e+01  8.8578e+00  -1.4769 0.1399831          
                time2001      -1.5587e+01  8.8506e+00  -1.7611 0.0785114 .        
                time2002      -2.0153e+01  8.8983e+00  -2.2648 0.0237245 *        
                time2003      -2.4490e+01  8.9306e+00  -2.7423 0.0062023 **       
                time2004      -9.5825e+00  8.9551e+00  -1.0701 0.2848302          
                time2005      -1.2129e+01  8.9868e+00  -1.3497 0.1774035          
                time2006      -6.6081e+00  9.0209e+00  -0.7325 0.4640008          
                time2007      -3.1290e+00  9.0543e+00  -0.3456 0.7297200          
                time2008       6.8589e-01  9.0552e+00   0.0757 0.9396357          
                time2009       4.5212e-01  9.0564e+00   0.0499 0.9601933          
                time2010       1.9350e+00  9.1203e+00   0.2122 0.8320218          
                time2011      -9.3875e+00  9.0975e+00  -1.0319 0.3023620          
                time2012      -1.7302e+01  8.9833e+00  -1.9260 0.0543705 .        
                time2013      -2.9971e+01  9.0449e+00  -3.3136 0.0009517 ***      
                time2014      -2.1383e+01  9.0359e+00  -2.3664 0.0181370 *        
                time2015      -2.3322e+01  9.0861e+00  -2.5668 0.0103980 *        
                time2016      -2.6550e+01  9.1109e+00  -2.9141 0.0036412 **       
                time2017      -9.6370e+00  9.1331e+00  -1.0552 0.2915831          
                time2018      -1.7537e+01  9.1412e+00  -1.9184 0.0553220 .        
                time2019      -2.8466e+01  9.1999e+00  -3.0942 0.0020244 **       
                iis231         2.5757e+02  3.6945e+01   6.9718 5.450e-12 ***      
                iis236         2.1090e+02  3.6979e+01   5.7032 1.518e-08 ***      
                iis237         9.3405e+02  3.7239e+01  25.0824 < 2.2e-16 ***      
                iis238         7.3184e+02  3.8583e+01  18.9678 < 2.2e-16 ***      
                iis239         5.6283e+02  4.0194e+01  14.0030 < 2.2e-16 ***      
                iis240         4.1558e+02  4.1718e+01   9.9618 < 2.2e-16 ***      
                iis282        -3.1713e+02  3.8800e+01  -8.1735 8.354e-16 ***      
                iis288        -6.7451e+02  3.8888e+01 -17.3450 < 2.2e-16 ***      
                iis603         1.4058e+02  3.8819e+01   3.6214 0.0003067 ***      
                iis604         4.7610e+02  3.8759e+01  12.2838 < 2.2e-16 ***      
                iis605         5.8092e+02  3.8923e+01  14.9246 < 2.2e-16 ***      
                iis608         3.5267e+02  4.7909e+01   7.3612 3.614e-13 ***      
                iis609         2.4365e+02  4.7621e+01   5.1165 3.685e-07 ***      
                iis610         1.7642e+02  4.7494e+01   3.7147 0.0002139 ***      
                iis612         2.8656e+02  4.7474e+01   6.0360 2.171e-09 ***      
                iis613        -2.3746e+02  4.1139e+01  -5.7723 1.022e-08 ***      
                iis614         7.8372e+02  4.1897e+01  18.7058 < 2.2e-16 ***      
                iis615         2.0359e+03  4.0652e+01  50.0802 < 2.2e-16 ***      
                iis616         1.1161e+03  3.8788e+01  28.7733 < 2.2e-16 ***      
                iis618        -2.8643e+02  3.8820e+01  -7.3784 3.196e-13 ***      
                iis624        -1.5795e+03  3.8822e+01 -40.6862 < 2.2e-16 ***      
                iis638         5.2212e+02  3.9164e+01  13.3316 < 2.2e-16 ***      
                iis639         3.5572e+02  3.8054e+01   9.3477 < 2.2e-16 ***      
                iis644        -4.0641e+02  4.1150e+01  -9.8762 < 2.2e-16 ***      
                iis645         4.4125e+02  4.1148e+01  10.7237 < 2.2e-16 ***      
                iis646        -3.5057e+02  4.1166e+01  -8.5160 < 2.2e-16 ***      
                iis1140        3.3869e+02  3.6546e+01   9.2674 < 2.2e-16 ***      
                iis1145        2.9115e+02  4.7764e+01   6.0957 1.517e-09 ***      
                iis1147       -9.2519e+02  4.7830e+01 -19.3431 < 2.2e-16 ***      
                iis1148       -1.4121e+02  4.7499e+01  -2.9729 0.0030161 **       
                iis1150       -4.9099e+02  4.7490e+01 -10.3388 < 2.2e-16 ***      
                iis1151       -4.7190e+02  4.7537e+01  -9.9271 < 2.2e-16 ***      
                iis1152       -8.0325e+02  4.7702e+01 -16.8390 < 2.2e-16 ***      
                fesisCHN.2009  1.5573e+02  2.0174e+01   7.7192 2.664e-14 ***      
                fesisDEU.2006  2.9395e+02  1.9282e+01  15.2450 < 2.2e-16 ***      
                fesisDEU.2012 -4.2300e+02  2.3984e+01 -17.6367 < 2.2e-16 ***      
                fesisDEU.2016  3.4325e+02  2.7451e+01  12.5041 < 2.2e-16 ***      
                fesisIND.2012 -8.5280e+01  2.2982e+01  -3.7107 0.0002172 ***      
                fesisJPN.2002 -1.7968e+02  3.9694e+01  -4.5265 6.666e-06 ***      
                fesisJPN.2003  1.9533e+02  4.7857e+01   4.0816 4.803e-05 ***      
                fesisJPN.2008 -1.7903e+02  4.1858e+01  -4.2771 2.062e-05 ***      
                fesisJPN.2016  4.0201e+02  2.7607e+01  14.5621 < 2.2e-16 ***      
                fesisKOR.2003  2.1851e+02  1.9441e+01  11.2395 < 2.2e-16 ***      
                fesisKOR.2009  1.7348e+02  2.6420e+01   6.5662 8.018e-11 ***      
                fesisKOR.2015 -1.8293e+02  2.9230e+01  -6.2582 5.614e-10 ***      
                fesisUSA.2005  4.2517e+02  2.5154e+01  16.9024 < 2.2e-16 ***      
                fesisUSA.2012  1.9703e+02  3.9810e+01   4.9493 8.639e-07 ***      
                fesisUSA.2014 -4.9593e+02  4.7567e+01 -10.4261 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df p-value          
                Ljung-Box AR(1)    3.3473  1 0.06732 .        
                Ljung-Box ARCH(1) 75.5639  1 < 2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    33.22791      
                R-squared            0.99946      
                Log-lik.(n=1200) -5844.79458      
0.05

                Formula: count~ gdp + pop      
                top_50 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Tue Jan  9 17:47:56 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 1200       
                Sample: 1 to 1200       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            9.2076e-01  6.6969e-03 137.4898 < 2.2e-16 ***      
                gdp           -3.3835e-15  2.3599e-15  -1.4338 0.1519401          
                pop            8.7407e-07  1.5983e-07   5.4686 5.671e-08 ***      
                idAUS          3.4912e+01  9.1665e+00   3.8087 0.0001478 ***      
                idAUT          5.3968e+01  1.0106e+01   5.3400 1.140e-07 ***      
                idBEL          3.9364e+01  9.8086e+00   4.0132 6.415e-05 ***      
                idBGR          2.8513e+01  9.9848e+00   2.8557 0.0043793 **       
                idBRA         -1.2576e+02  2.5510e+01  -4.9299 9.558e-07 ***      
                idCAN          5.6714e+01  9.0900e+00   6.2391 6.375e-10 ***      
                idCHE          4.8644e+01  1.0138e+01   4.7981 1.834e-06 ***      
                idCHL          2.2099e+01  9.3449e+00   2.3648 0.0182225 *        
                idCHN         -9.9711e+02  1.9796e+02  -5.0370 5.566e-07 ***      
                idCZE          2.8813e+01  9.7702e+00   2.9490 0.0032583 **       
                idDEU          2.0913e+02  1.6527e+01  12.6536 < 2.2e-16 ***      
                idDNK          6.0834e+01  1.0367e+01   5.8681 5.909e-09 ***      
                idESP          1.4864e+01  8.6073e+00   1.7269 0.0844867 .        
                idFIN          4.4657e+01  1.0272e+01   4.3475 1.511e-05 ***      
                idFRA          9.3211e+01  1.0778e+01   8.6479 < 2.2e-16 ***      
                idGBR          6.0244e+01  9.9974e+00   6.0260 2.324e-09 ***      
                idGRC          2.6277e+01  9.7254e+00   2.7019 0.0070054 **       
                idHKG          3.1313e+01  1.0047e+01   3.1167 0.0018786 **       
                idHUN          2.7801e+01  9.8005e+00   2.8367 0.0046462 **       
                idIND         -1.0915e+03  2.0584e+02  -5.3025 1.393e-07 ***      
                idIRL          3.5251e+01  1.0279e+01   3.4293 0.0006287 ***      
                idIRN          9.9787e+00  2.7838e+01   0.3585 0.7200702          
                idISR          4.3240e+01  1.0102e+01   4.2802 2.038e-05 ***      
                idITA          2.4543e+01  9.2003e+00   2.6677 0.0077555 **       
                idJPN          2.3380e+02  4.5281e+01   5.1634 2.901e-07 ***      
                idKOR          8.7820e+01  1.3257e+01   6.6246 5.558e-11 ***      
                idLUX          3.5210e+01  1.0620e+01   3.3154 0.0009464 ***      
                idMEX         -5.8123e+01  1.3907e+01  -4.1793 3.168e-05 ***      
                idMYS          1.3525e+01  8.7813e+00   1.5403 0.1238006          
                idNLD          5.4007e+01  9.6062e+00   5.6222 2.418e-08 ***      
                idNOR          3.8783e+01  1.0261e+01   3.7798 0.0001658 ***      
                idNZL          3.3667e+01  1.0286e+01   3.2730 0.0010988 **       
                idPHL         -4.3869e+01  1.1734e+01  -3.7385 0.0001951 ***      
                idPOL          6.3487e+00  8.5383e+00   0.7436 0.4573080          
                idPRT          2.7494e+01  9.7646e+00   2.8157 0.0049591 **       
                idROU          1.7151e+01  9.0632e+00   1.8924 0.0587147 .        
                idRUS         -8.2293e+01  1.8682e+01  -4.4050 1.166e-05 ***      
                idSAU          1.7073e+01  8.7828e+00   1.9440 0.0521674 .        
                idSGP          3.7057e+01  1.0257e+01   3.6129 0.0003171 ***      
                idSVK          3.0830e+01  1.0173e+01   3.0306 0.0025002 **       
                idSVN          3.3759e+01  1.0476e+01   3.2226 0.0013097 **       
                idSWE          5.3153e+01  1.0046e+01   5.2910 1.481e-07 ***      
                idTHA         -2.2747e+01  9.5291e+00  -2.3871 0.0171581 *        
                idTUR         -2.2179e+01  9.8861e+00  -2.2435 0.0250734 *        
                idTWN          7.9167e+01  9.6083e+00   8.2394 5.122e-16 ***      
                idUKR         -4.1779e+00  8.5994e+00  -0.4858 0.6271823          
                idUSA          1.4249e+02  4.1586e+01   3.4265 0.0006351 ***      
                idVNM         -3.0921e+01  1.2118e+01  -2.5517 0.0108609 *        
                idZAF         -6.8815e+00  8.6995e+00  -0.7910 0.4291096          
                time1996      -4.0586e+01  9.3874e+00  -4.3235 1.682e-05 ***      
                time1997      -4.2541e+01  9.4330e+00  -4.5098 7.220e-06 ***      
                time1998      -4.1058e+01  9.4805e+00  -4.3308 1.628e-05 ***      
                time1999      -3.4715e+01  9.5241e+00  -3.6449 0.0002806 ***      
                time2000      -3.5821e+01  9.5554e+00  -3.7488 0.0001874 ***      
                time2001      -3.8231e+01  9.5879e+00  -3.9874 7.144e-05 ***      
                time2002      -4.2378e+01  9.6191e+00  -4.4056 1.163e-05 ***      
                time2003      -3.9286e+01  9.6902e+00  -4.0542 5.403e-05 ***      
                time2004      -3.1466e+01  9.7104e+00  -3.2404 0.0012311 **       
                time2005      -2.9131e+01  9.7501e+00  -2.9878 0.0028755 **       
                time2006      -2.6366e+01  9.8033e+00  -2.6895 0.0072692 **       
                time2007      -2.1531e+01  9.8381e+00  -2.1885 0.0288528 *        
                time2008      -1.9576e+01  9.8548e+00  -1.9865 0.0472434 *        
                time2009      -2.0206e+01  9.7629e+00  -2.0697 0.0387223 *        
                time2010      -1.6604e+01  9.8442e+00  -1.6867 0.0919597 .        
                time2011      -2.3192e+01  9.8227e+00  -2.3611 0.0184050 *        
                time2012      -3.1630e+01  9.7301e+00  -3.2507 0.0011877 **       
                time2013      -5.0845e+01  9.8437e+00  -5.1653 2.872e-07 ***      
                time2014      -4.1577e+01  9.8913e+00  -4.2034 2.854e-05 ***      
                time2015      -4.1300e+01  9.9688e+00  -4.1430 3.704e-05 ***      
                time2016      -4.1782e+01  1.0026e+01  -4.1672 3.338e-05 ***      
                time2017      -3.0083e+01  1.0091e+01  -2.9813 0.0029370 **       
                time2018      -3.7851e+01  1.0139e+01  -3.7331 0.0001993 ***      
                time2019      -4.8041e+01  1.0228e+01  -4.6972 2.988e-06 ***      
                iis231         2.5278e+02  3.2978e+01   7.6651 4.060e-14 ***      
                iis236         2.1000e+02  3.3103e+01   6.3440 3.325e-10 ***      
                iis237         9.3486e+02  3.3533e+01  27.8788 < 2.2e-16 ***      
                iis238         7.5841e+02  3.5490e+01  21.3698 < 2.2e-16 ***      
                iis239         6.0511e+02  3.7772e+01  16.0201 < 2.2e-16 ***      
                iis240         4.6859e+02  3.9873e+01  11.7522 < 2.2e-16 ***      
                iis275         8.9798e+01  4.3906e+01   2.0452 0.0410806 *        
                iis276         1.3141e+02  4.3374e+01   3.0298 0.0025072 **       
                iis277         1.6519e+02  4.2863e+01   3.8539 0.0001233 ***      
                iis278         2.0542e+02  4.2488e+01   4.8348 1.532e-06 ***      
                iis279         1.6861e+02  4.2297e+01   3.9862 7.178e-05 ***      
                iis281        -2.1961e+02  3.6916e+01  -5.9488 3.677e-09 ***      
                iis282        -4.6922e+02  3.6757e+01 -12.7655 < 2.2e-16 ***      
                iis284        -2.0015e+02  3.6582e+01  -5.4714 5.585e-08 ***      
                iis288        -7.1891e+02  3.6673e+01 -19.6031 < 2.2e-16 ***      
                iis481         2.8161e+02  6.2729e+01   4.4894 7.934e-06 ***      
                iis482         2.6593e+02  6.0200e+01   4.4174 1.103e-05 ***      
                iis483         2.3732e+02  5.7704e+01   4.1127 4.217e-05 ***      
                iis484         2.1949e+02  5.5247e+01   3.9729 7.585e-05 ***      
                iis485         2.2402e+02  5.2810e+01   4.2420 2.411e-05 ***      
                iis486         1.8669e+02  5.0435e+01   3.7015 0.0002255 ***      
                iis487         2.0149e+02  4.8115e+01   4.1876 3.056e-05 ***      
                iis488         1.7326e+02  4.5932e+01   3.7720 0.0001710 ***      
                iis489         1.5377e+02  4.3853e+01   3.5064 0.0004734 ***      
                iis490         1.5269e+02  4.1917e+01   3.6426 0.0002831 ***      
                iis491         1.2736e+02  4.0172e+01   3.1705 0.0015660 **       
                iis492         9.5917e+01  3.8578e+01   2.4863 0.0130614 *        
                iis493         1.4349e+02  3.7121e+01   3.8656 0.0001177 ***      
                iis494         1.3830e+02  3.5731e+01   3.8705 0.0001153 ***      
                iis495         1.0745e+02  3.4625e+01   3.1033 0.0019653 **       
                iis496         1.2129e+02  3.3627e+01   3.6068 0.0003246 ***      
                iis601         9.2979e+01  4.4832e+01   2.0740 0.0383266 *        
                iis602         1.2167e+02  4.4426e+01   2.7387 0.0062724 **       
                iis603         2.7254e+02  4.4027e+01   6.1902 8.610e-10 ***      
                iis604         6.1579e+02  4.3444e+01  14.1746 < 2.2e-16 ***      
                iis605         7.4072e+02  4.2604e+01  17.3860 < 2.2e-16 ***      
                iis606         2.1228e+02  4.2228e+01   5.0269 5.860e-07 ***      
                iis608         7.2857e+02  4.3316e+01  16.8196 < 2.2e-16 ***      
                iis609         6.3757e+02  4.2744e+01  14.9161 < 2.2e-16 ***      
                iis610         5.7360e+02  4.2453e+01  13.5113 < 2.2e-16 ***      
                iis611         4.0595e+02  4.2297e+01   9.5978 < 2.2e-16 ***      
                iis612         6.9285e+02  4.2296e+01  16.3808 < 2.2e-16 ***      
                iis614         7.2230e+02  3.8986e+01  18.5271 < 2.2e-16 ***      
                iis615         1.9882e+03  3.7185e+01  53.4679 < 2.2e-16 ***      
                iis616         1.1078e+03  3.4507e+01  32.1049 < 2.2e-16 ***      
                iis618        -2.7543e+02  3.4552e+01  -7.9715 4.076e-15 ***      
                iis624        -1.5718e+03  3.4543e+01 -45.5017 < 2.2e-16 ***      
                iis638         5.3519e+02  3.6713e+01  14.5776 < 2.2e-16 ***      
                iis639         3.8764e+02  3.5161e+01  11.0247 < 2.2e-16 ***      
                iis642         2.2148e+02  3.4496e+01   6.4204 2.057e-10 ***      
                iis644        -4.0438e+02  3.6603e+01 -11.0478 < 2.2e-16 ***      
                iis645         4.3175e+02  3.6603e+01  11.7952 < 2.2e-16 ***      
                iis646        -3.4352e+02  3.6627e+01  -9.3789 < 2.2e-16 ***      
                iis1136       -3.6103e+02  3.3569e+01 -10.7546 < 2.2e-16 ***      
                iis1138        1.9787e+02  3.3754e+01   5.8621 6.117e-09 ***      
                iis1140        2.9156e+02  3.3640e+01   8.6671 < 2.2e-16 ***      
                iis1145        4.9648e+02  3.4307e+01  14.4719 < 2.2e-16 ***      
                iis1146        2.3121e+02  3.6520e+01   6.3312 3.602e-10 ***      
                iis1147       -1.1795e+03  3.8210e+01 -30.8687 < 2.2e-16 ***      
                iis1148       -4.2011e+02  3.5535e+01 -11.8222 < 2.2e-16 ***      
                iis1149       -2.8464e+02  3.5327e+01  -8.0573 2.111e-15 ***      
                iis1150       -7.6994e+02  3.5496e+01 -21.6908 < 2.2e-16 ***      
                iis1151       -7.6143e+02  3.4503e+01 -22.0686 < 2.2e-16 ***      
                iis1152       -1.1030e+03  3.3829e+01 -32.6058 < 2.2e-16 ***      
                fesisCHN.2009  1.5287e+02  2.1057e+01   7.2598 7.543e-13 ***      
                fesisDEU.2006  2.0223e+02  3.5068e+01   5.7670 1.061e-08 ***      
                fesisDEU.2012 -1.2127e+02  3.6818e+01  -3.2937 0.0010218 **       
                fesisDEU.2017  2.3371e+02  2.9896e+01   7.8174 1.308e-14 ***      
                fesisJPN.2003 -1.8991e+02  4.3229e+01  -4.3932 1.230e-05 ***      
                fesisJPN.2009  2.9092e+02  3.7932e+01   7.6695 3.930e-14 ***      
                fesisJPN.2016  3.9043e+02  2.4649e+01  15.8397 < 2.2e-16 ***      
                fesisKOR.2003  2.3898e+02  1.7718e+01  13.4878 < 2.2e-16 ***      
                fesisKOR.2009  1.7913e+02  2.7247e+01   6.5743 7.695e-11 ***      
                fesisKOR.2015 -1.1479e+02  2.7487e+01  -4.1763 3.210e-05 ***      
                fesisUSA.2000  2.2318e+02  2.2351e+01   9.9852 < 2.2e-16 ***      
                fesisUSA.2006  3.7725e+02  2.8413e+01  13.2775 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   11.311  1 0.0007705 ***      
                Ljung-Box ARCH(1) 71.836  1 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    29.54684      
                R-squared            0.99958      
                Log-lik.(n=1200) -5689.89835      

Log Count

0.01

                Formula: log_count~ lgdp + lpop      
                top_50 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Tue Jan  9 17:58:18 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 1200       
                Sample: 1 to 1200       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error  t-stat   p-value          
                ar1             0.4837803   0.0214681 22.5348 < 2.2e-16 ***      
                lgdp            0.6200835   0.0764330  8.1128 1.345e-15 ***      
                lpop            0.3496475   0.1709246  2.0456 0.0410371 *        
                idAUS           1.6895260   0.1890411  8.9373 < 2.2e-16 ***      
                idAUT           2.8137743   0.2795343 10.0659 < 2.2e-16 ***      
                idBEL           2.3157452   0.2374411  9.7529 < 2.2e-16 ***      
                idBGR           2.3480450   0.2987623  7.8592 9.362e-15 ***      
                idBRA          -0.6304314   0.2534234 -2.4877 0.0130097 *        
                idCAN           1.6317990   0.1292661 12.6236 < 2.2e-16 ***      
                idCHE           2.4061624   0.2999649  8.0215 2.722e-15 ***      
                idCHL          -2.6970212   0.4934119 -5.4661 5.722e-08 ***      
                idCHN          -1.6127948   0.5549919 -2.9060 0.0037363 **       
                idCZE           0.0774893   0.3198421  0.2423 0.8086145          
                idDEU           1.9698843   0.1630533 12.0812 < 2.2e-16 ***      
                idDNK           1.5908359   0.3931033  4.0469 5.564e-05 ***      
                idESP           1.2969002   0.0915134 14.1717 < 2.2e-16 ***      
                idFIN           2.9952349   0.3430927  8.7301 < 2.2e-16 ***      
                idFRA           1.6731591   0.1306246 12.8089 < 2.2e-16 ***      
                idGBR           1.6334319   0.1240124 13.1715 < 2.2e-16 ***      
                idGRC           1.5793497   0.2226382  7.0938 2.367e-12 ***      
                idHKG           0.5336733   0.3530991  1.5114 0.1309818          
                idHUN          -1.2998703   0.4512910 -2.8803 0.0040516 **       
                idIND          -2.4157323   0.5457416 -4.4265 1.056e-05 ***      
                idIRL           2.6979273   0.3954081  6.8231 1.487e-11 ***      
                idIRN          -6.0929176   0.7253093 -8.4004 < 2.2e-16 ***      
                idISR           1.9185968   0.3179881  6.0335 2.206e-09 ***      
                idITA           1.3139698   0.1142022 11.5056 < 2.2e-16 ***      
                idJPN          -0.9942722   0.4396576 -2.2615 0.0239299 *        
                idKOR          -1.8512491   0.5403000 -3.4263 0.0006350 ***      
                idLUX           3.3673297   0.7038310  4.7843 1.956e-06 ***      
                idMEX          -1.6353712   0.2427588 -6.7366 2.640e-11 ***      
                idMYS           0.4569053   0.1087812  4.2002 2.888e-05 ***      
                idNLD           2.2815263   0.1869708 12.2026 < 2.2e-16 ***      
                idNOR           1.0541999   0.4259444  2.4750 0.0134785 *        
                idNZL           2.3836594   0.3762635  6.3351 3.485e-10 ***      
                idPHL          -2.0775818   0.2239104 -9.2786 < 2.2e-16 ***      
                idPOL           0.4421959   0.0965034  4.5822 5.142e-06 ***      
                idPRT           1.7694723   0.2283461  7.7491 2.139e-14 ***      
                idROU           0.0031253   0.1664395  0.0188 0.9850222          
                idRUS          -1.9911284   0.3336817 -5.9671 3.277e-09 ***      
                idSAU          -0.2860595   0.1637050 -1.7474 0.0808528 .        
                idSGP           1.1223843   0.4109544  2.7312 0.0064147 **       
                idSVK           2.3259421   0.3278741  7.0940 2.363e-12 ***      
                idSVN           3.0247083   0.4776176  6.3329 3.533e-10 ***      
                idSWE           1.2868070   0.3321417  3.8743 0.0001134 ***      
                idTHA          -2.0714599   0.2220645 -9.3282 < 2.2e-16 ***      
                idTUR          -0.0580957   0.1661777 -0.3496 0.7267076          
                idTWN           1.5719585   0.1593875  9.8625 < 2.2e-16 ***      
                idUKR          -0.2721575   0.1166476 -2.3332 0.0198240 *        
                idUSA           0.7607243   0.3332088  2.2830 0.0226239 *        
                idVNM          -5.4477688   0.6078856 -8.9618 < 2.2e-16 ***      
                idZAF           0.1639751   0.1552493  1.0562 0.2911127          
                time1996      -22.2789822   2.8972613 -7.6897 3.327e-14 ***      
                time1997      -22.4179829   2.8969396 -7.7385 2.315e-14 ***      
                time1998      -22.2434018   2.8993135 -7.6720 3.793e-14 ***      
                time1999      -22.2653038   2.8992518 -7.6797 3.582e-14 ***      
                time2000      -22.1649147   2.9005078 -7.6417 4.740e-14 ***      
                time2001      -22.1784418   2.9009559 -7.6452 4.620e-14 ***      
                time2002      -22.1840390   2.9020648 -7.6442 4.654e-14 ***      
                time2003      -22.0586236   2.9031730 -7.5981 6.532e-14 ***      
                time2004      -22.1017976   2.9050211 -7.6081 6.069e-14 ***      
                time2005      -21.9910633   2.9057948 -7.5680 8.142e-14 ***      
                time2006      -21.9554453   2.9069569 -7.5527 9.102e-14 ***      
                time2007      -21.8865895   2.9086340 -7.5247 1.116e-13 ***      
                time2008      -21.9110855   2.9093294 -7.5313 1.064e-13 ***      
                time2009      -21.8331246   2.9091294 -7.5050 1.288e-13 ***      
                time2010      -21.7875502   2.9105311 -7.4858 1.480e-13 ***      
                time2011      -21.7957783   2.9108289 -7.4878 1.459e-13 ***      
                time2012      -21.8615100   2.9115269 -7.5086 1.255e-13 ***      
                time2013      -21.9466000   2.9129098 -7.5343 1.041e-13 ***      
                time2014      -21.9160501   2.9149135 -7.5186 1.167e-13 ***      
                time2015      -21.9101449   2.9162138 -7.5132 1.213e-13 ***      
                time2016      -21.9427521   2.9175602 -7.5209 1.147e-13 ***      
                time2017      -21.9331702   2.9197061 -7.5121 1.223e-13 ***      
                time2018      -21.9812591   2.9208074 -7.5257 1.108e-13 ***      
                time2019      -22.0564107   2.9222245 -7.5478 9.434e-14 ***      
                iis1            1.0050064   0.2418969  4.1547 3.517e-05 ***      
                iis4            1.3002262   0.2414541  5.3850 8.901e-08 ***      
                iis10           0.8865858   0.2413205  3.6739 0.0002507 ***      
                iis101         -1.3160300   0.2723842 -4.8315 1.552e-06 ***      
                iis104         -1.0832265   0.2447299 -4.4262 1.057e-05 ***      
                iis118         -0.7978907   0.2431333 -3.2817 0.0010651 **       
                iis409         -0.8981389   0.2418371 -3.7138 0.0002147 ***      
                iis410          0.8509799   0.2415517  3.5230 0.0004447 ***      
                iis418          0.9672095   0.2417865  4.0003 6.762e-05 ***      
                iis458          0.8601183   0.2416531  3.5593 0.0003881 ***      
                iis460         -1.0563865   0.2412965 -4.3780 1.315e-05 ***      
                iis464         -0.8504914   0.2410429 -3.5284 0.0004358 ***      
                iis529         -1.0070721   0.2421820 -4.1583 3.462e-05 ***      
                iis530          1.2042149   0.2422840  4.9703 7.779e-07 ***      
                iis531         -0.8194251   0.2427787 -3.3752 0.0007641 ***      
                iis534         -0.9013052   0.2413822 -3.7339 0.0001984 ***      
                iis539         -1.0093305   0.2413559 -4.1819 3.127e-05 ***      
                iis651          1.4538753   0.2408022  6.0376 2.153e-09 ***      
                iis677         -1.0093984   0.2406381 -4.1947 2.958e-05 ***      
                iis707          0.8807438   0.2406666  3.6596 0.0002649 ***      
                iis800          1.0997160   0.2408301  4.5664 5.537e-06 ***      
                iis819         -1.1584478   0.2410234 -4.8064 1.756e-06 ***      
                iis842         -0.9996252   0.2407632 -4.1519 3.559e-05 ***      
                iis870         -1.5785523   0.2632989 -5.9953 2.772e-09 ***      
                iis913         -0.9550772   0.2458801 -3.8843 0.0001089 ***      
                iis920         -0.9538020   0.2444548 -3.9018 0.0001014 ***      
                iis939          0.9286384   0.2456947  3.7796 0.0001657 ***      
                iis996         -0.8276669   0.2401537 -3.4464 0.0005901 ***      
                iis1060        -1.3329027   0.2415428 -5.5183 4.292e-08 ***      
                iis1161        -0.8069684   0.2414896 -3.3416 0.0008616 ***      
                iis1162         0.8602311   0.2416384  3.5600 0.0003871 ***      
                iis1163        -0.9747117   0.2417223 -4.0324 5.913e-05 ***      
                iis1165        -0.9104185   0.2412897 -3.7731 0.0001700 ***      
                iis1166        -0.9156498   0.2416815 -3.7887 0.0001599 ***      
                iis1197        -0.7992804   0.2423488 -3.2981 0.0010055 **       
                fesisARG.2018  -0.4678305   0.1752821 -2.6690 0.0077223 **       
                fesisAUS.2005  -0.3882212   0.1012565 -3.8340 0.0001334 ***      
                fesisBGR.1998  -1.1043102   0.2885773 -3.8267 0.0001374 ***      
                fesisBGR.1999   1.3269554   0.2724353  4.8707 1.279e-06 ***      
                fesisBGR.2003  -0.5446065   0.1523599 -3.5745 0.0003666 ***      
                fesisCHN.2004   0.5278955   0.1168753  4.5167 6.976e-06 ***      
                fesisDNK.2007   0.3814900   0.0983633  3.8784 0.0001116 ***      
                fesisIRL.2000  -0.4330036   0.1308699 -3.3087 0.0009686 ***      
                fesisNZL.2015  -0.4873809   0.1196278 -4.0741 4.959e-05 ***      
                fesisROU.1999   1.2975990   0.1800040  7.2087 1.064e-12 ***      
                fesisROU.2004  -0.3833420   0.1365867 -2.8066 0.0050977 **       
                fesisSAU.2011   0.7770731   0.1134454  6.8498 1.244e-11 ***      
                fesisSGP.1998   1.1608247   0.1769416  6.5605 8.329e-11 ***      
                fesisTHA.2000   0.5861103   0.1297899  4.5158 7.005e-06 ***      
                fesisTUR.1999   0.3893542   0.1479770  2.6312 0.0086310 **       
                fesisTWN.2002   0.6757352   0.1175053  5.7507 1.158e-08 ***      
                fesisZAF.2003  -0.5582393   0.1080616 -5.1659 2.851e-07 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   11.384  1 0.0007408 ***      
                Ljung-Box ARCH(1) 32.121  1 1.449e-08 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.23265      
                R-squared          0.98799      
                Log-lik.(n=1200) 111.11616      
0.05

                Formula: log_count~ lgdp + lpop      
                top_50 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Tue Jan  9 17:58:05 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 1200       
                Sample: 1 to 1200       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error  t-stat   p-value          
                ar1             0.499269   0.020611 24.2236 < 2.2e-16 ***      
                lgdp            0.653205   0.076605  8.5269 < 2.2e-16 ***      
                lpop            0.205247   0.170069  1.2068 0.2277691          
                idAUS           1.637860   0.190516  8.5970 < 2.2e-16 ***      
                idAUT           2.696373   0.279125  9.6601 < 2.2e-16 ***      
                idBEL           2.239056   0.239467  9.3502 < 2.2e-16 ***      
                idBGR           2.456443   0.277964  8.8373 < 2.2e-16 ***      
                idBRA          -0.346428   0.270324 -1.2815 0.2002975          
                idCAN           1.647091   0.140064 11.7595 < 2.2e-16 ***      
                idCHE           2.257754   0.298794  7.5562 9.149e-14 ***      
                idCHL          -2.800799   0.499317 -5.6093 2.611e-08 ***      
                idCHN          -1.083660   0.568538 -1.9060 0.0569224 .        
                idCZE          -0.058260   0.322748 -0.1805 0.8567872          
                idDEU           2.071577   0.176694 11.7241 < 2.2e-16 ***      
                idDNK           1.355010   0.389288  3.4807 0.0005210 ***      
                idESP           1.388801   0.112178 12.3803 < 2.2e-16 ***      
                idFIN           2.835887   0.342287  8.2851 3.647e-16 ***      
                idFRA           1.766627   0.146540 12.0556 < 2.2e-16 ***      
                idGBR           1.732410   0.140608 12.3209 < 2.2e-16 ***      
                idGRC           1.438271   0.232049  6.1981 8.256e-10 ***      
                idHKG           0.391676   0.354325  1.1054 0.2692388          
                idHUN          -1.819734   0.456639 -3.9851 7.222e-05 ***      
                idIND          -1.988638   0.563125 -3.5314 0.0004316 ***      
                idIRL           2.510177   0.393154  6.3847 2.594e-10 ***      
                idIRN          -6.186339   0.738018 -8.3824 < 2.2e-16 ***      
                idISR           1.755132   0.317166  5.5338 3.975e-08 ***      
                idITA           1.416156   0.133115 10.6386 < 2.2e-16 ***      
                idJPN          -1.015096   0.452559 -2.2430 0.0251080 *        
                idKOR          -2.017192   0.547312 -3.6856 0.0002400 ***      
                idLUX           2.988120   0.704049  4.2442 2.392e-05 ***      
                idMEX          -1.856894   0.297114 -6.2498 6.011e-10 ***      
                idMYS           0.579691   0.146593  3.9544 8.197e-05 ***      
                idNLD           2.234869   0.189942 11.7660 < 2.2e-16 ***      
                idNOR           0.803427   0.423747  1.8960 0.0582393 .        
                idNZL           2.207037   0.376465  5.8625 6.135e-09 ***      
                idPHL          -1.979928   0.244481 -8.0985 1.564e-15 ***      
                idPOL           0.501840   0.120416  4.1676 3.337e-05 ***      
                idPRT           1.746107   0.234536  7.4449 2.046e-13 ***      
                idROU           0.084934   0.168400  0.5044 0.6141191          
                idRUS          -1.699857   0.350974 -4.8433 1.473e-06 ***      
                idSAU          -0.150184   0.178061 -0.8434 0.3991758          
                idSGP           2.113606   0.359234  5.8836 5.423e-09 ***      
                idSVK           2.253047   0.333208  6.7617 2.282e-11 ***      
                idSVN           2.861441   0.480676  5.9530 3.608e-09 ***      
                idSWE           1.103644   0.330767  3.3366 0.0008784 ***      
                idTHA          -1.945857   0.233062 -8.3491 < 2.2e-16 ***      
                idTUR           0.127252   0.171984  0.7399 0.4595271          
                idTWN           1.573199   0.163281  9.6349 < 2.2e-16 ***      
                idUKR          -0.169533   0.140042 -1.2106 0.2263328          
                idUSA           0.982954   0.349232  2.8146 0.0049766 **       
                idVNM          -5.526441   0.604853 -9.1368 < 2.2e-16 ***      
                idZAF           0.321702   0.210009  1.5318 0.1258673          
                time1996      -20.828142   2.928317 -7.1127 2.128e-12 ***      
                time1997      -20.898698   2.928355 -7.1367 1.803e-12 ***      
                time1998      -20.751007   2.930192 -7.0818 2.633e-12 ***      
                time1999      -20.766212   2.930526 -7.0862 2.555e-12 ***      
                time2000      -20.718544   2.931296 -7.0680 2.894e-12 ***      
                time2001      -20.688859   2.932085 -7.0560 3.144e-12 ***      
                time2002      -20.699176   2.932909 -7.0576 3.111e-12 ***      
                time2003      -20.602861   2.934183 -7.0217 3.977e-12 ***      
                time2004      -20.645358   2.935929 -7.0320 3.707e-12 ***      
                time2005      -20.529454   2.936691 -6.9907 4.913e-12 ***      
                time2006      -20.509010   2.938036 -6.9805 5.264e-12 ***      
                time2007      -20.463004   2.939891 -6.9605 6.032e-12 ***      
                time2008      -20.475285   2.940748 -6.9626 5.945e-12 ***      
                time2009      -20.389169   2.940421 -6.9341 7.210e-12 ***      
                time2010      -20.346370   2.941795 -6.9163 8.130e-12 ***      
                time2011      -20.323846   2.942068 -6.9080 8.597e-12 ***      
                time2012      -20.413275   2.942583 -6.9372 7.061e-12 ***      
                time2013      -20.469854   2.943848 -6.9534 6.326e-12 ***      
                time2014      -20.478295   2.945925 -6.9514 6.414e-12 ***      
                time2015      -20.475718   2.947270 -6.9473 6.592e-12 ***      
                time2016      -20.482227   2.948371 -6.9470 6.609e-12 ***      
                time2017      -20.495680   2.950844 -6.9457 6.666e-12 ***      
                time2018      -20.524870   2.952078 -6.9527 6.358e-12 ***      
                time2019      -20.584579   2.953351 -6.9699 5.658e-12 ***      
                iis1            1.171235   0.227131  5.1566 3.014e-07 ***      
                iis4            1.410836   0.226379  6.2322 6.699e-10 ***      
                iis10           0.608690   0.225887  2.6947 0.0071605 **       
                iis99          -1.249904   0.226743 -5.5124 4.474e-08 ***      
                iis101         -1.196095   0.226686 -5.2764 1.606e-07 ***      
                iis104         -1.107263   0.215780 -5.1314 3.436e-07 ***      
                iis107         -0.576420   0.213860 -2.6953 0.0071468 **       
                iis118         -0.838271   0.213642 -3.9237 9.298e-05 ***      
                iis194         -0.786279   0.211483 -3.7179 0.0002117 ***      
                iis196         -0.821637   0.211143 -3.8914 0.0001061 ***      
                iis219         -0.442728   0.220729 -2.0058 0.0451437 *        
                iis409         -0.764390   0.224118 -3.4107 0.0006732 ***      
                iis410          0.934947   0.223026  4.1921 3.001e-05 ***      
                iis417         -0.573458   0.222735 -2.5746 0.0101739 *        
                iis418          0.872927   0.215222  4.0559 5.370e-05 ***      
                iis448         -0.665879   0.210556 -3.1625 0.0016101 **       
                iis458          1.143319   0.253198  4.5155 7.046e-06 ***      
                iis460         -0.761530   0.252975 -3.0103 0.0026736 **       
                iis464         -0.821917   0.213265 -3.8540 0.0001234 ***      
                iis529         -0.999306   0.212761 -4.6968 3.000e-06 ***      
                iis530          1.159337   0.212891  5.4457 6.455e-08 ***      
                iis531         -0.861281   0.213412 -4.0358 5.846e-05 ***      
                iis534         -0.928117   0.211816 -4.3817 1.298e-05 ***      
                iis539         -1.008251   0.211615 -4.7646 2.164e-06 ***      
                iis649          0.552167   0.212449  2.5991 0.0094817 **       
                iis651          1.392743   0.212081  6.5670 8.130e-11 ***      
                iis666         -0.685777   0.211387 -3.2442 0.0012158 **       
                iis669         -0.603974   0.211925 -2.8499 0.0044600 **       
                iis675          0.607686   0.212715  2.8568 0.0043654 **       
                iis677         -1.009770   0.211796 -4.7677 2.132e-06 ***      
                iis702         -0.799612   0.218723 -3.6558 0.0002693 ***      
                iis707          0.844042   0.214845  3.9286 9.114e-05 ***      
                iis791         -0.531615   0.230323 -2.3081 0.0211893 *        
                iis799         -0.954344   0.220624 -4.3257 1.669e-05 ***      
                iis800          0.831523   0.221834  3.7484 0.0001879 ***      
                iis808         -0.472662   0.219422 -2.1541 0.0314623 *        
                iis817          0.598005   0.214769  2.7844 0.0054609 **       
                iis819         -1.133567   0.211928 -5.3488 1.091e-07 ***      
                iis842         -1.043070   0.211245 -4.9377 9.217e-07 ***      
                iis870         -1.608035   0.230957 -6.9625 5.950e-12 ***      
                iis913         -1.054294   0.217813 -4.8404 1.494e-06 ***      
                iis916         -0.662546   0.216426 -3.0613 0.0022609 **       
                iis918         -0.634998   0.215742 -2.9433 0.0033200 **       
                iis920         -1.054373   0.215925 -4.8831 1.210e-06 ***      
                iis934          0.553302   0.218714  2.5298 0.0115611 *        
                iis937         -0.746241   0.213838 -3.4898 0.0005040 ***      
                iis938         -1.593260   0.214008 -7.4449 2.047e-13 ***      
                iis939          0.937869   0.216536  4.3312 1.628e-05 ***      
                iis967         -0.701750   0.211334 -3.3206 0.0009299 ***      
                iis968          0.643973   0.211489  3.0449 0.0023864 **       
                iis986         -0.819205   0.211418 -3.8748 0.0001135 ***      
                iis996         -0.832706   0.210717 -3.9518 8.287e-05 ***      
                iis1037         0.663486   0.213354  3.1098 0.0019237 **       
                iis1052         0.663280   0.211753  3.1323 0.0017833 **       
                iis1060        -1.370602   0.238165 -5.7548 1.144e-08 ***      
                iis1161        -1.529985   0.253185 -6.0429 2.113e-09 ***      
                iis1163        -1.699459   0.253659 -6.6998 3.431e-11 ***      
                iis1165        -0.964296   0.221197 -4.3594 1.435e-05 ***      
                iis1166        -0.964029   0.220851 -4.3651 1.399e-05 ***      
                iis1170        -0.712588   0.220283 -3.2349 0.0012557 **       
                iis1171         0.622240   0.220391  2.8233 0.0048442 **       
                iis1176        -0.724147   0.220859 -3.2788 0.0010775 **       
                iis1197        -0.842637   0.212919 -3.9576 8.092e-05 ***      
                iis1200        -0.560855   0.213259 -2.6299 0.0086677 **       
                fesisARG.2003   0.425030   0.130796  3.2496 0.0011932 **       
                fesisARG.2009  -0.361714   0.115620 -3.1285 0.0018066 **       
                fesisARG.2018  -0.386615   0.161475 -2.3943 0.0168313 *        
                fesisAUS.2005  -0.356790   0.089420 -3.9900 7.075e-05 ***      
                fesisBGR.2003  -0.426246   0.113307 -3.7619 0.0001782 ***      
                fesisCHN.2004   0.428113   0.109265  3.9181 9.513e-05 ***      
                fesisDNK.2007   0.384157   0.086586  4.4367 1.012e-05 ***      
                fesisGRC.2005   0.221031   0.102784  2.1504 0.0317522 *        
                fesisHUN.2000   0.652447   0.189733  3.4388 0.0006078 ***      
                fesisHUN.2003  -0.359665   0.130957 -2.7464 0.0061299 **       
                fesisIRL.2000  -0.404850   0.115704 -3.4990 0.0004870 ***      
                fesisMEX.1998   0.391908   0.154875  2.5305 0.0115390 *        
                fesisMYS.2005  -0.655103   0.219192 -2.9887 0.0028681 **       
                fesisMYS.2006   0.653946   0.214435  3.0496 0.0023499 **       
                fesisNZL.2015  -0.361512   0.114823 -3.1484 0.0016888 **       
                fesisPHL.2002   0.358036   0.117422  3.0491 0.0023536 **       
                fesisPHL.2011  -0.343435   0.109979 -3.1227 0.0018419 **       
                fesisROU.1999   1.308152   0.157953  8.2819 3.739e-16 ***      
                fesisROU.2004  -0.418802   0.120896 -3.4641 0.0005538 ***      
                fesisRUS.2007  -0.295957   0.088904 -3.3290 0.0009026 ***      
                fesisSAU.2011   0.614155   0.107201  5.7290 1.326e-08 ***      
                fesisTHA.2000   0.525958   0.115350  4.5597 5.739e-06 ***      
                fesisTUR.1999   0.408575   0.168972  2.4180 0.0157786 *        
                fesisTUR.2003  -0.711213   0.238491 -2.9821 0.0029298 **       
                fesisTUR.2004   0.737491   0.213305  3.4575 0.0005676 ***      
                fesisTWN.2002   0.659766   0.104208  6.3312 3.627e-10 ***      
                fesisVNM.2004   0.793639   0.164435  4.8265 1.600e-06 ***      
                fesisVNM.2008  -0.662526   0.166722 -3.9738 7.565e-05 ***      
                fesisZAF.1998  -0.758638   0.253206 -2.9961 0.0027998 **       
                fesisZAF.1999   0.790940   0.230818  3.4267 0.0006352 ***      
                fesisZAF.2003  -0.613601   0.117552 -5.2198 2.166e-07 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    4.8266  1   0.02802 *        
                Ljung-Box ARCH(1) 51.4614  1 7.302e-13 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.20389      
                R-squared          0.99115      
                Log-lik.(n=1200) 290.96506      

ENERGY

oecd

Count

0.01

                Formula: count~ gdp + pop      
                oecd (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Wed Jan 10 11:29:28 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 936       
                Sample: 1 to 936       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            9.4762e-01  5.3755e-03 176.2865 < 2.2e-16 ***      
                gdp           -1.2596e-14  3.4488e-14  -0.3652 0.7150277          
                pop            1.1525e-06  1.3253e-07   8.6967 < 2.2e-16 ***      
                idAUT          1.7399e+01  8.2362e+00   2.1126 0.0349373 *        
                idBEL          8.6300e+00  8.1641e+00   1.0571 0.2907903          
                idCAN         -5.6092e+00  8.1774e+00  -0.6859 0.4929436          
                idCHE          1.5681e+01  8.2606e+00   1.8983 0.0580095 .        
                idCHL          5.4562e-01  9.3387e+00   0.0584 0.9534235          
                idCHN         -1.4137e+03  1.6991e+02  -8.3203 3.598e-16 ***      
                idCOL         -2.4448e+01  2.2339e+01  -1.0944 0.2740917          
                idCRI          1.2793e+01  8.3833e+00   1.5260 0.1273911          
                idCZE          6.5559e+00  8.1662e+00   0.8028 0.4223211          
                idDEU          7.7789e+00  1.2683e+01   0.6134 0.5398109          
                idDNK          2.9791e+01  8.3904e+00   3.5506 0.0004060 ***      
                idESP         -2.5768e+01  8.5909e+00  -2.9995 0.0027856 **       
                idEST          1.6146e+01  8.4323e+00   1.9148 0.0558607 .        
                idFIN          1.4808e+01  8.3111e+00   1.7817 0.0751711 .        
                idFRA         -2.3122e+01  9.5678e+00  -2.4166 0.0158807 *        
                idGRC          5.5157e+00  8.1529e+00   0.6765 0.4988867          
                idHUN          7.0291e+00  8.2556e+00   0.8514 0.3947792          
                idIRL          1.4488e+01  8.3307e+00   1.7391 0.0823954 .        
                idISL          1.7492e+01  8.4759e+00   2.0638 0.0393499 *        
                idISR          1.4139e+01  8.2603e+00   1.7117 0.0873256 .        
                idITA         -3.9213e+01  9.3934e+00  -4.1745 3.303e-05 ***      
                idJPN          1.0687e+02  3.4862e+01   3.0655 0.0022435 **       
                idKOR          1.5149e+02  4.2829e+01   3.5372 0.0004269 ***      
                idLTU          1.3977e+01  8.3637e+00   1.6712 0.0950594 .        
                idLUX          1.7272e+01  8.4670e+00   2.0399 0.0416764 *        
                idLVA          1.5177e+01  8.4007e+00   1.8066 0.0711903 .        
                idMEX         -1.0703e+02  1.4224e+01  -7.5246 1.380e-13 ***      
                idNLD          7.6591e+00  8.0867e+00   0.9471 0.3438517          
                idNOR          1.5926e+01  8.3267e+00   1.9126 0.0561432 .        
                idNZL          1.3648e+01  8.3324e+00   1.6379 0.1018129          
                idPOL         -2.4709e+01  8.4010e+00  -2.9412 0.0033601 **       
                idPRT          6.3377e+00  8.1632e+00   0.7764 0.4377522          
                idSVK          1.1707e+01  8.2917e+00   1.4118 0.1583740          
                idSVN          1.5572e+01  8.4072e+00   1.8522 0.0643529 .        
                idSWE          1.2225e+01  8.2109e+00   1.4889 0.1368895          
                idTUR         -6.2760e+01  1.0539e+01  -5.9550 3.840e-09 ***      
                idTWN          1.2216e+01  8.0782e+00   1.5122 0.1308606          
                idUSA         -1.5131e+02  3.4275e+01  -4.4144 1.147e-05 ***      
                time1996      -2.2581e+01  7.6011e+00  -2.9707 0.0030567 **       
                time1997      -1.9555e+01  7.6210e+00  -2.5659 0.0104662 *        
                time1998      -1.8387e+01  7.6385e+00  -2.4071 0.0162971 *        
                time1999      -1.7742e+01  7.6423e+00  -2.3216 0.0204969 *        
                time2000      -1.6000e+01  7.6469e+00  -2.0923 0.0367119 *        
                time2001      -1.6908e+01  7.6706e+00  -2.2042 0.0277842 *        
                time2002      -2.1528e+01  7.6800e+00  -2.8031 0.0051796 **       
                time2003      -2.3427e+01  7.6798e+00  -3.0505 0.0023574 **       
                time2004      -1.2136e+01  7.6851e+00  -1.5791 0.1146967          
                time2005      -9.5048e+00  7.6833e+00  -1.2371 0.2164147          
                time2006      -1.6901e+01  7.7054e+00  -2.1934 0.0285574 *        
                time2007      -2.1758e+00  7.7502e+00  -0.2807 0.7789768          
                time2008      -4.6634e+00  7.7610e+00  -0.6009 0.5480913          
                time2009      -1.5700e+00  7.8031e+00  -0.2012 0.8405955          
                time2010      -3.3896e+00  7.7682e+00  -0.4363 0.6627026          
                time2011      -1.5948e+01  7.7590e+00  -2.0554 0.0401543 *        
                time2012      -3.0396e+01  7.8078e+00  -3.8930 0.0001070 ***      
                time2013      -3.2991e+01  7.8517e+00  -4.2018 2.936e-05 ***      
                time2014      -2.8498e+01  7.8148e+00  -3.6467 0.0002823 ***      
                time2015      -2.7797e+01  7.8548e+00  -3.5388 0.0004243 ***      
                time2016      -1.8829e+01  7.7737e+00  -2.4222 0.0156419 *        
                time2017      -1.2372e+01  7.8401e+00  -1.5781 0.1149292          
                time2018      -1.6891e+01  7.7654e+00  -2.1752 0.0298989 *        
                time2019      -3.1856e+01  7.8906e+00  -4.0373 5.909e-05 ***      
                iis165         3.6858e+02  3.0368e+01  12.1370 < 2.2e-16 ***      
                iis166         3.6123e+02  3.0655e+01  11.7836 < 2.2e-16 ***      
                iis167         3.5763e+02  3.1000e+01  11.5363 < 2.2e-16 ***      
                iis252         9.7221e+01  3.1815e+01   3.0558 0.0023167 **       
                iis258        -2.9507e+02  4.0007e+01  -7.3755 3.978e-13 ***      
                iis529        -1.0473e+02  3.9995e+01  -2.6185 0.0089940 **       
                iis530        -1.0449e+02  3.9990e+01  -2.6128 0.0091429 **       
                iis541        -2.0215e+02  2.9659e+01  -6.8158 1.805e-11 ***      
                iis542         5.3460e+02  2.9688e+01  18.0074 < 2.2e-16 ***      
                iis543         1.2479e+03  2.9776e+01  41.9086 < 2.2e-16 ***      
                iis544         4.3670e+02  3.1203e+01  13.9955 < 2.2e-16 ***      
                iis545        -4.3713e+02  3.2036e+01 -13.6452 < 2.2e-16 ***      
                iis546        -5.0231e+02  3.1203e+01 -16.0980 < 2.2e-16 ***      
                iis548        -2.5626e+02  3.0545e+01  -8.3896 < 2.2e-16 ***      
                iis550         1.5840e+02  3.0390e+01   5.2122 2.358e-07 ***      
                iis552        -8.0614e+02  3.0570e+01 -26.3703 < 2.2e-16 ***      
                iis553        -1.3796e+02  3.4352e+01  -4.0161 6.454e-05 ***      
                iis554        -1.5039e+02  3.3668e+01  -4.4669 9.036e-06 ***      
                iis555        -1.6724e+02  3.4259e+01  -4.8816 1.263e-06 ***      
                iis556        -1.3799e+02  3.3036e+01  -4.1770 3.267e-05 ***      
                iis557        -1.4510e+02  3.2161e+01  -4.5116 7.365e-06 ***      
                iis558        -1.0767e+02  3.1705e+01  -3.3961 0.0007162 ***      
                iis559        -1.7907e+02  3.1128e+01  -5.7527 1.236e-08 ***      
                iis566         3.4373e+02  3.5535e+01   9.6732 < 2.2e-16 ***      
                iis567         2.9922e+02  3.4842e+01   8.5879 < 2.2e-16 ***      
                iis570         1.8236e+02  3.4732e+01   5.2503 1.932e-07 ***      
                iis571        -2.4210e+02  3.3333e+01  -7.2633 8.723e-13 ***      
                iis572        -2.1433e+02  3.3053e+01  -6.4843 1.531e-10 ***      
                iis573         4.1257e+02  3.2897e+01  12.5414 < 2.2e-16 ***      
                iis923         3.1278e+02  2.9275e+01  10.6843 < 2.2e-16 ***      
                iis924         4.1333e+02  2.9322e+01  14.0960 < 2.2e-16 ***      
                iis925         4.2444e+02  2.9556e+01  14.3606 < 2.2e-16 ***      
                iis926         3.4039e+02  2.9986e+01  11.3516 < 2.2e-16 ***      
                iis931        -4.4159e+02  3.1930e+01 -13.8298 < 2.2e-16 ***      
                iis934        -1.0701e+02  3.1626e+01  -3.3836 0.0007489 ***      
                fesisDEU.2007  2.0825e+02  1.7375e+01  11.9856 < 2.2e-16 ***      
                fesisDEU.2012 -3.3340e+02  3.1733e+01 -10.5062 < 2.2e-16 ***      
                fesisDEU.2014  9.6078e+01  3.0763e+01   3.1232 0.0018513 **       
                fesisJPN.1999  2.3596e+02  3.4690e+01   6.8021 1.976e-11 ***      
                fesisJPN.2001 -2.1296e+02  2.3295e+01  -9.1420 < 2.2e-16 ***      
                fesisKOR.2009  9.3109e+01  2.6576e+01   3.5035 0.0004838 ***      
                fesisKOR.2014 -1.6238e+02  2.7954e+01  -5.8087 8.972e-09 ***      
                fesisUSA.2014 -1.4234e+02  1.6735e+01  -8.5053 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                     Chi-sq df   p-value          
                Ljung-Box AR(1)    0.023363  1    0.8785          
                Ljung-Box ARCH(1) 40.025621  1 2.507e-10 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    27.90114      
                R-squared            0.99864      
                Log-lik.(n=936)  -4389.75943      
0.05

                Formula: count~ gdp + pop      
                oecd (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Wed Jan 10 11:29:24 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 936       
                Sample: 1 to 936       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            9.1705e-01  4.6400e-03 197.6386 < 2.2e-16 ***      
                gdp            1.6382e-16  2.6153e-14   0.0063 0.9950036          
                pop            1.1631e-06  1.0580e-07  10.9937 < 2.2e-16 ***      
                idAUT          1.7541e+01  6.2172e+00   2.8214 0.0048982 **       
                idBEL          7.7897e+00  6.1578e+00   1.2650 0.2062221          
                idCAN         -2.4428e+00  6.1751e+00  -0.3956 0.6925129          
                idCHE          1.6188e+01  6.2372e+00   2.5955 0.0096166 **       
                idCHL         -3.2535e+00  7.0465e+00  -0.4617 0.6444083          
                idCHN         -1.4233e+03  1.3537e+02 -10.5144 < 2.2e-16 ***      
                idCOL         -3.4623e+01  1.6914e+01  -2.0470 0.0409792 *        
                idCRI          1.0450e+01  6.3429e+00   1.6475 0.0998426 .        
                idCZE          4.6705e+00  6.1616e+00   0.7580 0.4486711          
                idDEU          6.9740e+00  1.0347e+01   0.6740 0.5004764          
                idDNK          3.2626e+01  6.3441e+00   5.1427 3.395e-07 ***      
                idESP         -2.5469e+01  6.5173e+00  -3.9079 0.0001008 ***      
                idEST          1.4187e+01  6.3889e+00   2.2206 0.0266541 *        
                idFIN          1.4029e+01  6.2825e+00   2.2331 0.0258140 *        
                idFRA         -1.5837e+01  7.3791e+00  -2.1463 0.0321471 *        
                idGRC          3.6384e+00  6.1504e+00   0.5916 0.5543005          
                idHUN          4.7436e+00  6.2312e+00   0.7613 0.4467196          
                idIRL          1.2834e+01  6.3016e+00   2.0366 0.0420115 *        
                idISL          1.5496e+01  6.4258e+00   2.4115 0.0161064 *        
                idISR          1.3961e+01  6.2381e+00   2.2381 0.0254845 *        
                idITA         -3.8197e+01  7.1931e+00  -5.3103 1.413e-07 ***      
                idJPN          3.7857e+02  2.2190e+01  17.0604 < 2.2e-16 ***      
                idKOR          1.2853e+02  3.3168e+01   3.8751 0.0001151 ***      
                idLTU          1.1994e+01  6.3306e+00   1.8945 0.0585068 .        
                idLUX          1.5368e+01  6.4181e+00   2.3945 0.0168678 *        
                idLVA          1.3188e+01  6.3622e+00   2.0728 0.0385035 *        
                idMEX         -1.1015e+02  1.1141e+01  -9.8871 < 2.2e-16 ***      
                idNLD          8.5243e+00  6.0904e+00   1.3996 0.1620102          
                idNOR          1.4879e+01  6.2961e+00   2.3631 0.0183545 *        
                idNZL          1.1993e+01  6.3030e+00   1.9027 0.0574353 .        
                idPOL         -2.6668e+01  6.3534e+00  -4.1974 2.998e-05 ***      
                idPRT          4.4799e+00  6.1592e+00   0.7274 0.4672201          
                idSVK          9.7657e+00  6.2693e+00   1.5577 0.1196932          
                idSVN          1.3645e+01  6.3674e+00   2.1430 0.0324125 *        
                idSWE          1.2207e+01  6.1959e+00   1.9702 0.0491523 *        
                idTUR         -6.5137e+01  8.1291e+00  -8.0129 3.869e-15 ***      
                idTWN          1.6088e+01  6.0884e+00   2.6424 0.0083906 **       
                idUSA         -1.0964e+02  2.7890e+01  -3.9312 9.171e-05 ***      
                time1996      -1.7393e+01  5.7831e+00  -3.0076 0.0027142 **       
                time1997      -1.9382e+01  5.7711e+00  -3.3584 0.0008203 ***      
                time1998      -1.8068e+01  5.7862e+00  -3.1226 0.0018561 **       
                time1999      -1.7385e+01  5.7912e+00  -3.0020 0.0027637 **       
                time2000      -1.5114e+01  5.7967e+00  -2.6073 0.0092917 **       
                time2001      -1.3882e+01  5.8248e+00  -2.3833 0.0173844 *        
                time2002      -1.7662e+01  5.8354e+00  -3.0266 0.0025507 **       
                time2003      -2.3493e+01  5.8364e+00  -4.0252 6.223e-05 ***      
                time2004      -1.5852e+01  5.8530e+00  -2.7083 0.0069037 **       
                time2005      -1.0834e+01  5.8570e+00  -1.8498 0.0647028 .        
                time2006      -1.3143e+01  5.8926e+00  -2.2304 0.0259899 *        
                time2007      -1.1415e+00  5.8962e+00  -0.1936 0.8465320          
                time2008      -1.2448e+00  5.9049e+00  -0.2108 0.8330866          
                time2009      -3.7002e-01  5.9549e+00  -0.0621 0.9504699          
                time2010      -4.1817e+00  5.9414e+00  -0.7038 0.4817448          
                time2011      -1.0027e+01  5.9342e+00  -1.6897 0.0914714 .        
                time2012      -2.4609e+01  5.9720e+00  -4.1207 4.163e-05 ***      
                time2013      -2.7749e+01  5.9906e+00  -4.6320 4.213e-06 ***      
                time2014      -2.6245e+01  5.9569e+00  -4.4059 1.194e-05 ***      
                time2015      -1.8682e+01  5.9971e+00  -3.1152 0.0019028 **       
                time2016      -1.7561e+01  5.9250e+00  -2.9639 0.0031258 **       
                time2017      -1.2562e+01  5.9726e+00  -2.1032 0.0357502 *        
                time2018      -2.1884e+01  5.9361e+00  -3.6866 0.0002423 ***      
                time2019      -2.5648e+01  5.9816e+00  -4.2879 2.020e-05 ***      
                iis165         2.7518e+02  3.0723e+01   8.9568 < 2.2e-16 ***      
                iis166         2.8379e+02  3.0371e+01   9.3441 < 2.2e-16 ***      
                iis167         2.9900e+02  3.0186e+01   9.9052 < 2.2e-16 ***      
                iis252         9.5500e+01  2.4794e+01   3.8517 0.0001265 ***      
                iis254         7.3951e+01  2.4608e+01   3.0052 0.0027355 **       
                iis258        -4.0210e+02  2.6206e+01 -15.3442 < 2.2e-16 ***      
                iis260        -2.3363e+02  2.6083e+01  -8.9569 < 2.2e-16 ***      
                iis529        -3.6122e+02  2.6197e+01 -13.7887 < 2.2e-16 ***      
                iis530        -3.5386e+02  2.6151e+01 -13.5313 < 2.2e-16 ***      
                iis531        -2.4728e+02  2.6129e+01  -9.4637 < 2.2e-16 ***      
                iis534        -1.5449e+02  2.3415e+01  -6.5980 7.495e-11 ***      
                iis535        -1.7267e+02  2.3347e+01  -7.3958 3.495e-13 ***      
                iis539        -1.7278e+02  2.2878e+01  -7.5522 1.148e-13 ***      
                iis541        -2.5461e+02  2.2797e+01 -11.1685 < 2.2e-16 ***      
                iis542         4.8200e+02  2.2859e+01  21.0856 < 2.2e-16 ***      
                iis543         1.2170e+03  2.2799e+01  53.3808 < 2.2e-16 ***      
                iis544         4.3988e+02  2.3831e+01  18.4583 < 2.2e-16 ***      
                iis545        -4.2052e+02  2.4529e+01 -17.1438 < 2.2e-16 ***      
                iis546        -4.9975e+02  2.3821e+01 -20.9795 < 2.2e-16 ***      
                iis548        -2.7314e+02  2.3303e+01 -11.7212 < 2.2e-16 ***      
                iis550         1.4581e+02  2.3184e+01   6.2893 5.198e-10 ***      
                iis552        -8.1961e+02  2.3358e+01 -35.0888 < 2.2e-16 ***      
                iis553        -1.2889e+02  2.6477e+01  -4.8681 1.353e-06 ***      
                iis554        -1.3592e+02  2.5924e+01  -5.2429 2.016e-07 ***      
                iis555        -1.5176e+02  2.6381e+01  -5.7525 1.244e-08 ***      
                iis556        -1.2349e+02  2.5426e+01  -4.8568 1.431e-06 ***      
                iis557        -1.3104e+02  2.4732e+01  -5.2985 1.504e-07 ***      
                iis558        -9.5518e+01  2.4384e+01  -3.9172 9.708e-05 ***      
                iis559        -1.6682e+02  2.3904e+01  -6.9785 6.182e-12 ***      
                iis561         1.5235e+02  2.3502e+01   6.4824 1.562e-10 ***      
                iis566         6.9662e+02  2.8081e+01  24.8077 < 2.2e-16 ***      
                iis567         6.7034e+02  2.6982e+01  24.8442 < 2.2e-16 ***      
                iis568         3.8712e+02  2.6486e+01  14.6160 < 2.2e-16 ***      
                iis569         3.7512e+02  2.6309e+01  14.2583 < 2.2e-16 ***      
                iis570         5.6951e+02  2.6163e+01  21.7677 < 2.2e-16 ***      
                iis573         4.6234e+02  2.6285e+01  17.5894 < 2.2e-16 ***      
                iis575         1.8080e+02  2.6086e+01   6.9309 8.500e-12 ***      
                iis913        -1.8669e+02  2.2618e+01  -8.2539 6.150e-16 ***      
                iis923         3.1271e+02  2.2168e+01  14.1063 < 2.2e-16 ***      
                iis924         4.2832e+02  2.2231e+01  19.2668 < 2.2e-16 ***      
                iis925         4.5237e+02  2.2496e+01  20.1089 < 2.2e-16 ***      
                iis926         3.8543e+02  2.2955e+01  16.7908 < 2.2e-16 ***      
                iis927         2.3185e+02  2.3417e+01   9.9007 < 2.2e-16 ***      
                iis931        -4.1723e+02  2.4091e+01 -17.3191 < 2.2e-16 ***      
                iis934        -1.0308e+02  2.3814e+01  -4.3285 1.688e-05 ***      
                fesisCHN.2016  1.1844e+02  2.4659e+01   4.8029 1.861e-06 ***      
                fesisDEU.2005  8.2774e+01  1.6673e+01   4.9645 8.389e-07 ***      
                fesisDEU.2007  1.5361e+02  1.9855e+01   7.7366 3.015e-14 ***      
                fesisDEU.2012 -3.0207e+02  2.4676e+01 -12.2412 < 2.2e-16 ***      
                fesisDEU.2013  1.0246e+02  2.6285e+01   3.8982 0.0001049 ***      
                fesisDEU.2017  1.2474e+02  2.1297e+01   5.8573 6.822e-09 ***      
                fesisDEU.2019 -2.8777e+02  2.6100e+01 -11.0257 < 2.2e-16 ***      
                fesisJPN.2001 -1.1785e+02  1.8904e+01  -6.2342 7.280e-10 ***      
                fesisKOR.2009 -2.2216e+02  2.2702e+01  -9.7860 < 2.2e-16 ***      
                fesisKOR.2016  1.6980e+02  2.1752e+01   7.8062 1.808e-14 ***      
                fesisUSA.2014 -1.1008e+02  1.3112e+01  -8.3957 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    3.8526  1   0.04967 *        
                Ljung-Box ARCH(1) 48.5383  1 3.239e-12 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    21.00424      
                R-squared            0.99924      
                Log-lik.(n=936)  -4117.48828      

Log Count

0.01

                Formula: log_count~ lgdp + lpop      
                oecd (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Wed Jan 10 11:52:58 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 936       
                Sample: 1 to 936       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1            0.446194  0.026332 16.9451 < 2.2e-16 ***      
                lgdp           0.810247  0.110834  7.3104 6.177e-13 ***      
                lpop          -0.892853  0.261100 -3.4196 0.0006572 ***      
                idAUT          0.401602  0.268382  1.4964 0.1349272          
                idBEL          0.136604  0.215364  0.6343 0.5260618          
                idCAN          0.763342  0.145699  5.2392 2.038e-07 ***      
                idCHE         -0.080394  0.268959 -0.2989 0.7650845          
                idCHL         -5.479937  0.551326 -9.9396 < 2.2e-16 ***      
                idCHN          1.494867  1.039701  1.4378 0.1508649          
                idCOL         -6.074082  0.665419 -9.1282 < 2.2e-16 ***      
                idCRI         -5.476076  0.614956 -8.9048 < 2.2e-16 ***      
                idCZE         -2.613459  0.273180 -9.5668 < 2.2e-16 ***      
                idDEU          2.169014  0.361632  5.9979 2.962e-09 ***      
                idDNK         -1.970117  0.424379 -4.6424 3.992e-06 ***      
                idESP          0.930235  0.224933  4.1356 3.894e-05 ***      
                idEST         -0.769820  0.749284 -1.0274 0.3045228          
                idFIN          0.019661  0.374530  0.0525 0.9581457          
                idFRA          1.517067  0.297792  5.0944 4.317e-07 ***      
                idGRC         -0.239448  0.257246 -0.9308 0.3522148          
                idHUN         -4.099677  0.470470 -8.7140 < 2.2e-16 ***      
                idIRL         -0.673171  0.423234 -1.5905 0.1120875          
                idISL         -5.988121  1.134424 -5.2786 1.657e-07 ***      
                idISR         -0.726015  0.283812 -2.5581 0.0106986 *        
                idITA          1.023521  0.276529  3.7013 0.0002284 ***      
                idJPN         -1.086297  0.674454 -1.6106 0.1076334          
                idKOR         -3.338238  0.706250 -4.7267 2.672e-06 ***      
                idLTU         -0.133574  0.548777 -0.2434 0.8077520          
                idLUX         -2.143844  0.952198 -2.2515 0.0246121 *        
                idLVA          0.255386  0.637626  0.4005 0.6888703          
                idMEX         -1.649786  0.441336 -3.7382 0.0001979 ***      
                idNLD          0.607838  0.131922  4.6076 4.702e-06 ***      
                idNOR         -2.255734  0.427132 -5.2811 1.634e-07 ***      
                idNZL         -0.832108  0.423040 -1.9670 0.0495132 *        
                idPOL         -0.403461  0.179248 -2.2508 0.0246515 *        
                idPRT         -0.167302  0.265822 -0.6294 0.5292737          
                idSVK         -0.261116  0.429834 -0.6075 0.5436942          
                idSVN         -0.603440  0.638636 -0.9449 0.3449862          
                idSWE         -1.474832  0.275732 -5.3488 1.141e-07 ***      
                idTUR         -0.247736  0.346070 -0.7159 0.4742782          
                idTWN          0.039877  0.162240  0.2458 0.8059034          
                idUSA          2.253612  0.677100  3.3283 0.0009115 ***      
                time1996      -5.688337  4.544258 -1.2518 0.2110023          
                time1997      -5.649764  4.547439 -1.2424 0.2144317          
                time1998      -5.596535  4.551001 -1.2297 0.2191378          
                time1999      -5.581374  4.552992 -1.2259 0.2205893          
                time2000      -5.551751  4.556397 -1.2185 0.2233923          
                time2001      -5.464100  4.559043 -1.1985 0.2310510          
                time2002      -5.585179  4.560928 -1.2246 0.2210782          
                time2003      -5.477085  4.562486 -1.2005 0.2302969          
                time2004      -5.425843  4.565411 -1.1885 0.2349831          
                time2005      -5.376904  4.568713 -1.1769 0.2395681          
                time2006      -5.218383  4.572960 -1.1411 0.2541354          
                time2007      -5.023069  4.576277 -1.0976 0.2726778          
                time2008      -5.087029  4.576609 -1.1115 0.2666573          
                time2009      -4.864783  4.576644 -1.0630 0.2881044          
                time2010      -4.883530  4.579136 -1.0665 0.2865139          
                time2011      -4.927283  4.580759 -1.0756 0.2823919          
                time2012      -4.984894  4.581966 -1.0879 0.2769327          
                time2013      -5.126196  4.584013 -1.1183 0.2637665          
                time2014      -5.079751  4.587248 -1.1074 0.2684519          
                time2015      -5.206427  4.589902 -1.1343 0.2569811          
                time2016      -5.110135  4.591528 -1.1129 0.2660470          
                time2017      -5.087866  4.594832 -1.1073 0.2684786          
                time2018      -5.157889  4.597332 -1.1219 0.2622105          
                time2019      -5.246771  4.599594 -1.1407 0.2543168          
                iis185        -0.994420  0.311002 -3.1975 0.0014380 **       
                iis391        -0.989820  0.311880 -3.1737 0.0015595 **       
                iis392         0.927677  0.313269  2.9613 0.0031494 **       
                iis414         1.177345  0.315320  3.7338 0.0002012 ***      
                iis417         0.922633  0.313703  2.9411 0.0033597 **       
                iis438        -0.956944  0.311854 -3.0686 0.0022196 **       
                iis439        -1.606577  0.312157 -5.1467 3.299e-07 ***      
                iis589         1.312132  0.317281  4.1356 3.895e-05 ***      
                iis603         1.049035  0.311934  3.3630 0.0008057 ***      
                iis621        -1.000437  0.312360 -3.2028 0.0014118 **       
                iis639        -1.572605  0.318599 -4.9360 9.607e-07 ***      
                iis653        -1.141989  0.311545 -3.6656 0.0002622 ***      
                iis812         0.959872  0.311976  3.0768 0.0021602 **       
                iis825        -1.412853  0.312270 -4.5245 6.921e-06 ***      
                iis832        -1.067635  0.311062 -3.4322 0.0006277 ***      
                iis871         1.028861  0.316918  3.2465 0.0012145 **       
                fesisCHN.2002  0.528820  0.170314  3.1050 0.0019665 **       
                fesisCRI.2008 -0.807142  0.131653 -6.1308 1.341e-09 ***      
                fesisDNK.1998  0.942545  0.226880  4.1544 3.593e-05 ***      
                fesisHUN.1999 -1.086907  0.278913 -3.8969 0.0001051 ***      
                fesisHUN.2001  0.679865  0.229279  2.9652 0.0031096 **       
                fesisLTU.2006 -0.665106  0.147006 -4.5243 6.925e-06 ***      
                fesisLVA.2002 -0.836590  0.168076 -4.9774 7.810e-07 ***      
                fesisLVA.2014 -0.576133  0.160775 -3.5835 0.0003585 ***      
                fesisTUR.2002  0.619898  0.149664  4.1419 3.790e-05 ***      
                fesisTWN.2001  0.968542  0.161456  5.9988 2.946e-09 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   12.526  1 0.0004012 ***      
                Ljung-Box ARCH(1) 36.008  1 1.965e-09 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.30023      
                R-squared           0.98277      
                Log-lik.(n=936)  -156.44017      
0.05

                Formula: log_count~ lgdp + lpop      
                oecd (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Wed Jan 10 11:53:02 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 936       
                Sample: 1 to 936       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error   t-stat   p-value          
                ar1            0.316203  0.023916  13.2216 < 2.2e-16 ***      
                lgdp           0.880463  0.109073   8.0723 2.542e-15 ***      
                lpop          -1.311213  0.244043  -5.3729 1.018e-07 ***      
                idAUT          0.109184  0.246294   0.4433 0.6576627          
                idBEL         -0.140931  0.197645  -0.7131 0.4760217          
                idCAN          1.055783  0.128679   8.2048 9.257e-16 ***      
                idCHE         -0.416947  0.245440  -1.6988 0.0897531 .        
                idCHL         -6.369563  0.534625 -11.9141 < 2.2e-16 ***      
                idCHN          3.072200  0.961904   3.1939 0.0014590 **       
                idCOL         -6.687124  0.633690 -10.5527 < 2.2e-16 ***      
                idCRI         -6.748671  0.583774 -11.5604 < 2.2e-16 ***      
                idCZE         -3.226013  0.254875 -12.6572 < 2.2e-16 ***      
                idDEU          3.035006  0.332379   9.1312 < 2.2e-16 ***      
                idDNK         -2.590852  0.383066  -6.7635 2.609e-11 ***      
                idESP          0.749221  0.213608   3.5075 0.0004778 ***      
                idEST         -1.969297  0.696433  -2.8277 0.0048062 **       
                idFIN         -0.499288  0.345524  -1.4450 0.1488466          
                idFRA          2.138105  0.273352   7.8218 1.653e-14 ***      
                idGRC         -0.652271  0.243571  -2.6779 0.0075603 **       
                idHUN         -4.804597  0.444399 -10.8115 < 2.2e-16 ***      
                idIRL         -1.434454  0.390772  -3.6708 0.0002579 ***      
                idISL         -7.985394  1.064596  -7.5009 1.695e-13 ***      
                idISR         -1.175590  0.260045  -4.5207 7.099e-06 ***      
                idITA          1.490241  0.254276   5.8607 6.746e-09 ***      
                idJPN         -0.264108  0.646597  -0.4085 0.6830471          
                idKOR         -3.652848  0.681008  -5.3639 1.068e-07 ***      
                idLTU         -1.004915  0.516734  -1.9447 0.0521575 .        
                idLUX         -3.710266  0.886322  -4.1861 3.154e-05 ***      
                idLVA         -0.788374  0.599405  -1.3153 0.1888008          
                idMEX         -2.055190  0.414338  -4.9602 8.613e-07 ***      
                idNLD          0.595854  0.116988   5.0933 4.397e-07 ***      
                idNOR         -3.027151  0.399547  -7.5765 9.870e-14 ***      
                idNZL         -1.550542  0.391178  -3.9638 8.041e-05 ***      
                idPOL         -0.369101  0.163025  -2.2641 0.0238375 *        
                idPRT         -0.606698  0.251054  -2.4166 0.0158902 *        
                idSVK         -0.770512  0.409853  -1.8800 0.0604768 .        
                idSVN         -1.762704  0.594350  -2.9658 0.0031095 **       
                idSWE         -1.407516  0.272642  -5.1625 3.081e-07 ***      
                idTUR          0.126772  0.326164   0.3887 0.6976209          
                idTWN          0.117861  0.145805   0.8083 0.4191317          
                idUSA          3.620394  0.625628   5.7868 1.031e-08 ***      
                time1996      -0.190007  4.230672  -0.0449 0.9641889          
                time1997      -0.188957  4.233900  -0.0446 0.9644139          
                time1998      -0.086069  4.237024  -0.0203 0.9837983          
                time1999      -0.029457  4.239228  -0.0069 0.9944575          
                time2000      -0.043408  4.242162  -0.0102 0.9918383          
                time2001       0.108079  4.244920   0.0255 0.9796938          
                time2002       0.014472  4.246913   0.0034 0.9972819          
                time2003       0.024947  4.247944   0.0059 0.9953158          
                time2004       0.111340  4.250297   0.0262 0.9791078          
                time2005       0.190911  4.254154   0.0449 0.9642171          
                time2006       0.351527  4.258263   0.0826 0.9342287          
                time2007       0.629725  4.261561   0.1478 0.8825629          
                time2008       0.661428  4.262075   0.1552 0.8767115          
                time2009       0.827609  4.263024   0.1941 0.8461185          
                time2010       0.852830  4.265231   0.1999 0.8415714          
                time2011       0.817491  4.266796   0.1916 0.8481094          
                time2012       0.763018  4.267832   0.1788 0.8581531          
                time2013       0.636000  4.268834   0.1490 0.8816018          
                time2014       0.608885  4.271252   0.1426 0.8866783          
                time2015       0.504636  4.273305   0.1181 0.9060259          
                time2016       0.536403  4.274818   0.1255 0.9001754          
                time2017       0.641181  4.277772   0.1499 0.8808919          
                time2018       0.563169  4.279285   0.1316 0.8953311          
                time2019       0.469217  4.282336   0.1096 0.9127777          
                iis145        -0.600357  0.266702  -2.2510 0.0246552 *        
                iis185        -1.184456  0.262361  -4.5146 7.302e-06 ***      
                iis188        -0.868795  0.262682  -3.3074 0.0009839 ***      
                iis199         0.514378  0.255178   2.0158 0.0441607 *        
                iis203        -0.828064  0.254966  -3.2477 0.0012120 **       
                iis223        -0.830833  0.248650  -3.3414 0.0008725 ***      
                iis322        -0.711921  0.249330  -2.8553 0.0044110 **       
                iis385        -0.672000  0.262818  -2.5569 0.0107453 *        
                iis391        -1.043018  0.262713  -3.9702 7.832e-05 ***      
                iis392         0.841642  0.263791   3.1906 0.0014756 **       
                iis397        -0.657402  0.254838  -2.5797 0.0100674 *        
                iis414         1.019476  0.252556   4.0366 5.946e-05 ***      
                iis417         0.918459  0.250556   3.6657 0.0002630 ***      
                iis438        -0.959799  0.249265  -3.8505 0.0001273 ***      
                iis439        -1.754337  0.249665  -7.0268 4.544e-12 ***      
                iis468        -0.896300  0.253110  -3.5411 0.0004216 ***      
                iis469        -1.237362  0.254427  -4.8633 1.391e-06 ***      
                iis588        -0.553171  0.257098  -2.1516 0.0317291 *        
                iis589         0.963287  0.257454   3.7416 0.0001960 ***      
                iis596        -0.628791  0.256498  -2.4514 0.0144421 *        
                iis598        -0.828852  0.257073  -3.2242 0.0013148 **       
                iis600        -0.754886  0.257931  -2.9267 0.0035233 **       
                iis603         0.882050  0.250434   3.5221 0.0004525 ***      
                iis606        -0.942853  0.250798  -3.7594 0.0001828 ***      
                iis618        -0.940745  0.250600  -3.7540 0.0001867 ***      
                iis625         0.575161  0.266791   2.1558 0.0313945 *        
                iis633         0.784234  0.256732   3.0547 0.0023281 **       
                iis638         0.668156  0.255896   2.6111 0.0091963 **       
                iis639        -1.375656  0.256715  -5.3587 1.099e-07 ***      
                iis650         1.086614  0.280564   3.8730 0.0001163 ***      
                iis653        -0.577203  0.280383  -2.0586 0.0398551 *        
                iis659         0.665319  0.249684   2.6646 0.0078631 **       
                iis743        -0.905899  0.249076  -3.6370 0.0002936 ***      
                iis751        -0.653410  0.249079  -2.6233 0.0088746 **       
                iis800         0.672412  0.253761   2.6498 0.0082141 **       
                iis812         1.035130  0.256201   4.0403 5.856e-05 ***      
                iis817         0.820473  0.262738   3.1228 0.0018564 **       
                iis825        -1.147855  0.253045  -4.5362 6.611e-06 ***      
                iis832        -0.959714  0.251267  -3.8195 0.0001441 ***      
                iis868        -0.763291  0.271502  -2.8114 0.0050544 **       
                iis870        -0.645991  0.272227  -2.3730 0.0178815 *        
                iis871         0.926921  0.257015   3.6065 0.0003297 ***      
                iis889        -0.765573  0.272333  -2.8112 0.0050575 **       
                fesisCHL.2000  0.637416  0.185715   3.4322 0.0006295 ***      
                fesisCHL.2003 -0.628131  0.153983  -4.0792 4.974e-05 ***      
                fesisCHN.2002  0.512781  0.147855   3.4681 0.0005522 ***      
                fesisCHN.2015  0.510922  0.143722   3.5549 0.0004004 ***      
                fesisCOL.2012  0.262783  0.119380   2.2012 0.0280058 *        
                fesisCRI.2008 -0.958635  0.112248  -8.5403 < 2.2e-16 ***      
                fesisDNK.1998  0.749927  0.195309   3.8397 0.0001330 ***      
                fesisDNK.2005  0.438515  0.113556   3.8616 0.0001218 ***      
                fesisESP.2003  0.705293  0.112426   6.2734 5.794e-10 ***      
                fesisEST.2016  0.632510  0.250775   2.5222 0.0118555 *        
                fesisEST.2017 -1.264165  0.280338  -4.5094 7.478e-06 ***      
                fesisGRC.2005  0.723662  0.198695   3.6421 0.0002880 ***      
                fesisGRC.2007 -0.751430  0.188203  -3.9927 7.138e-05 ***      
                fesisHUN.1999 -1.218103  0.222841  -5.4662 6.154e-08 ***      
                fesisHUN.2001  0.682062  0.183821   3.7105 0.0002213 ***      
                fesisISL.2010 -0.892333  0.141910  -6.2880 5.298e-10 ***      
                fesisISL.2014  0.799434  0.157230   5.0845 4.599e-07 ***      
                fesisKOR.2003  0.688125  0.116690   5.8970 5.468e-09 ***      
                fesisLTU.2006 -0.596127  0.129509  -4.6030 4.846e-06 ***      
                fesisLUX.2016 -0.945077  0.184913  -5.1109 4.017e-07 ***      
                fesisLUX.2018  0.811281  0.243136   3.3367 0.0008870 ***      
                fesisLVA.2002 -1.075067  0.148903  -7.2199 1.216e-12 ***      
                fesisLVA.2014 -0.540622  0.134469  -4.0204 6.362e-05 ***      
                fesisMEX.2001  0.655884  0.154315   4.2503 2.388e-05 ***      
                fesisSVK.2008 -1.005021  0.189459  -5.3047 1.464e-07 ***      
                fesisSVK.2010  0.637948  0.190246   3.3533 0.0008363 ***      
                fesisSVN.2003  0.946297  0.262582   3.6038 0.0003331 ***      
                fesisSVN.2004 -0.999885  0.251595  -3.9742 7.703e-05 ***      
                fesisSWE.2001 -0.593932  0.124337  -4.7768 2.120e-06 ***      
                fesisTUR.2002  0.390496  0.145046   2.6922 0.0072469 **       
                fesisTUR.2014  0.467049  0.127787   3.6549 0.0002741 ***      
                fesisTWN.2001  1.061027  0.140903   7.5302 1.375e-13 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    2.0967  1    0.1476          
                Ljung-Box ARCH(1) 16.7978  1 4.158e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                               
                SE of regression  0.23948      
                R-squared         0.98967      
                Log-lik.(n=936)  79.68561      

top_25

Count

0.01

                Formula: count~ gdp + pop      
                top_25 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Wed Jan 10 11:27:06 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            9.5773e-01  7.5058e-03 127.5985 < 2.2e-16 ***      
                gdp            1.0379e-13  7.4858e-14   1.3865 0.1661891          
                pop            2.9123e-07  1.0090e-07   2.8863 0.0040607 **       
                idAUT          6.3230e+00  1.0839e+01   0.5833 0.5599138          
                idBEL         -5.5588e-02  1.0812e+01  -0.0051 0.9958998          
                idBRA         -5.4236e+01  2.0220e+01  -2.6823 0.0075452 **       
                idCAN          3.5172e+00  1.0847e+01   0.3243 0.7458687          
                idCHE          3.9153e+00  1.0849e+01   0.3609 0.7183223          
                idCHN         -3.1842e+02  1.2949e+02  -2.4591 0.0142555 *        
                idDEU          5.6683e+01  1.5553e+01   3.6446 0.0002949 ***      
                idDNK          1.5211e+01  1.0909e+01   1.3943 0.1638306          
                idESP         -6.2110e+00  1.1004e+01  -0.5644 0.5726987          
                idFIN          1.4664e+00  1.0878e+01   0.1348 0.8928124          
                idFRA          1.0864e+01  1.1656e+01   0.9320 0.3517622          
                idGBR          4.1394e+00  1.1536e+01   0.3588 0.7198728          
                idIND         -3.0116e+02  1.0488e+02  -2.8714 0.0042546 **       
                idISR          2.2236e+00  1.0852e+01   0.2049 0.8377225          
                idITA         -7.5890e+00  1.1391e+01  -0.6662 0.5055542          
                idJPN          8.1307e+01  3.7908e+01   2.1448 0.0324317 *        
                idKOR         -6.9319e+01  6.5116e+01  -1.0645 0.2875809          
                idNLD          3.2680e+00  1.0775e+01   0.3033 0.7617810          
                idNOR          1.9236e+00  1.0892e+01   0.1766 0.8598871          
                idRUS         -4.5937e+01  1.6662e+01  -2.7569 0.0060409 **       
                idSGP          9.1873e-01  1.0887e+01   0.0844 0.9327820          
                idSWE          1.6508e+00  1.0833e+01   0.1524 0.8789379          
                idTWN          1.2305e+01  1.0804e+01   1.1390 0.2552487          
                idUSA          6.5477e+01  3.1114e+01   2.1044 0.0358270 *        
                time1996      -1.3527e+01  1.0706e+01  -1.2634 0.2070070          
                time1997      -9.4576e+00  1.0717e+01  -0.8825 0.3779241          
                time1998      -2.5774e+00  1.0738e+01  -0.2400 0.8103990          
                time1999      -3.7163e+00  1.0823e+01  -0.3434 0.7314532          
                time2000       8.8823e-01  1.0838e+01   0.0820 0.9347137          
                time2001       2.3839e+00  1.0756e+01   0.2216 0.8246934          
                time2002      -7.6516e+00  1.0776e+01  -0.7100 0.4780018          
                time2003      -1.6272e+01  1.0948e+01  -1.4863 0.1378131          
                time2004       1.1725e+01  1.0702e+01   1.0956 0.2737829          
                time2005       1.8108e+01  1.0710e+01   1.6908 0.0914763 .        
                time2006       4.5360e+00  1.0820e+01   0.4192 0.6752173          
                time2007       3.1482e+01  1.0844e+01   2.9032 0.0038514 **       
                time2008       2.0217e+01  1.0876e+01   1.8589 0.0636030 .        
                time2009       2.8695e+01  1.1130e+01   2.5782 0.0102067 *        
                time2010       2.5468e+01  1.1128e+01   2.2886 0.0225050 *        
                time2011       1.2046e+01  1.1108e+01   1.0845 0.2786647          
                time2012      -2.6521e+01  1.1161e+01  -2.3762 0.0178546 *        
                time2013      -2.6244e+01  1.1327e+01  -2.3170 0.0208933 *        
                time2014      -1.9562e+01  1.1134e+01  -1.7570 0.0795173 .        
                time2015      -1.2694e+01  1.1133e+01  -1.1402 0.2547276          
                time2016      -5.3616e+00  1.1163e+01  -0.4803 0.6312027          
                time2017       8.7854e+00  1.1113e+01   0.7906 0.4295664          
                time2018       2.7980e+00  1.1130e+01   0.2514 0.8016090          
                time2019      -2.6172e+01  1.1236e+01  -2.3293 0.0202302 *        
                iis165         4.3593e+02  3.9931e+01  10.9171 < 2.2e-16 ***      
                iis166         4.2271e+02  4.0505e+01  10.4359 < 2.2e-16 ***      
                iis167         4.2091e+02  4.1314e+01  10.1881 < 2.2e-16 ***      
                iis168         1.3312e+02  4.2329e+01   3.1449 0.0017568 **       
                iis186        -3.7721e+02  4.0831e+01  -9.2383 < 2.2e-16 ***      
                iis388         3.0624e+02  4.0274e+01   7.6037 1.366e-13 ***      
                iis389         2.6446e+02  3.9988e+01   6.6136 9.379e-11 ***      
                iis392         1.9670e+02  3.9919e+01   4.9274 1.124e-06 ***      
                iis398         5.0287e+02  4.3774e+01  11.4880 < 2.2e-16 ***      
                iis399         1.2086e+03  4.3022e+01  28.0923 < 2.2e-16 ***      
                iis400         3.8463e+02  4.2881e+01   8.9697 < 2.2e-16 ***      
                iis401        -4.7052e+02  4.3236e+01 -10.8826 < 2.2e-16 ***      
                iis402        -5.3515e+02  4.2810e+01 -12.5007 < 2.2e-16 ***      
                iis404        -2.9375e+02  4.2566e+01  -6.9012 1.515e-11 ***      
                iis408        -8.3656e+02  4.2589e+01 -19.6428 < 2.2e-16 ***      
                iis422         3.9628e+02  4.0737e+01   9.7276 < 2.2e-16 ***      
                iis423         3.3705e+02  4.1966e+01   8.0315 6.550e-15 ***      
                iis426         2.1934e+02  4.5683e+01   4.8014 2.066e-06 ***      
                iis429         4.2973e+02  4.4558e+01   9.6444 < 2.2e-16 ***      
                iis587         3.1359e+02  3.9401e+01   7.9589 1.107e-14 ***      
                iis588         4.0024e+02  3.9490e+01  10.1352 < 2.2e-16 ***      
                iis589         4.1751e+02  3.9856e+01  10.4755 < 2.2e-16 ***      
                iis590         3.2551e+02  4.0590e+01   8.0193 7.155e-15 ***      
                iis595        -4.2725e+02  4.2054e+01 -10.1595 < 2.2e-16 ***      
                fesisDEU.2007  2.0485e+02  2.1327e+01   9.6055 < 2.2e-16 ***      
                fesisDEU.2012 -2.5430e+02  2.2350e+01 -11.3780 < 2.2e-16 ***      
                fesisIND.2004 -6.9733e+01  2.6497e+01  -2.6318 0.0087482 **       
                fesisJPN.2009  7.4440e+01  2.7050e+01   2.7520 0.0061321 **       
                fesisKOR.2003  1.0707e+02  3.5646e+01   3.0036 0.0027969 **       
                fesisKOR.2014 -3.6854e+02  4.0072e+01  -9.1970 < 2.2e-16 ***      
                fesisKOR.2016  2.0559e+02  3.7075e+01   5.5452 4.689e-08 ***      
                fesisUSA.2014 -1.4466e+02  2.1146e+01  -6.8409 2.232e-11 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df  p-value          
                Ljung-Box AR(1)    1.8203  1   0.1773          
                Ljung-Box ARCH(1) 33.5487  1 6.95e-09 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    37.27557      
                R-squared            0.99835      
                Log-lik.(n=600)  -2980.86604      
0.05

                Formula: count~ gdp + pop      
                top_25 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Wed Jan 10 11:27:05 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            8.8892e-01  1.7006e-02  52.2718 < 2.2e-16 ***      
                gdp            3.2958e-14  1.3795e-13   0.2389 0.8112641          
                pop            3.0177e-08  6.9198e-08   0.4361 0.6629530          
                idAUT          2.8106e+00  1.0071e+01   0.2791 0.7803119          
                idBEL         -5.0831e+00  1.0076e+01  -0.5045 0.6141417          
                idBRA         -1.3810e+01  1.5284e+01  -0.9035 0.3666889          
                idCAN          1.4053e+01  1.0250e+01   1.3711 0.1709489          
                idCHE          1.0762e+00  1.0077e+01   0.1068 0.9149928          
                idCHN         -1.8177e+01  8.6516e+01  -0.2101 0.8336702          
                idDEU          1.0705e+02  1.6390e+01   6.5313 1.595e-10 ***      
                idDNK          1.7113e+01  1.0190e+01   1.6795 0.0936784 .        
                idESP          9.1894e-01  1.0176e+01   0.0903 0.9280847          
                idFIN         -4.9854e+00  1.0108e+01  -0.4932 0.6220762          
                idFRA          3.9418e+01  1.1415e+01   3.4532 0.0006007 ***      
                idGBR          2.7079e+01  1.0938e+01   2.4757 0.0136251 *        
                idIND         -3.6733e+01  7.6946e+01  -0.4774 0.6332900          
                idISR         -2.2355e+00  1.0084e+01  -0.2217 0.8246456          
                idITA          5.3352e+00  1.0411e+01   0.5125 0.6085495          
                idJPN          1.9929e+02  6.3764e+01   3.1255 0.0018775 **       
                idKOR          1.8096e+02  1.6137e+02   1.1214 0.2626612          
                idNLD          3.7295e+00  1.0051e+01   0.3710 0.7107565          
                idNOR         -5.0197e+00  1.0147e+01  -0.4947 0.6210368          
                idRUS         -1.1026e+01  1.3512e+01  -0.8161 0.4148413          
                idSGP         -6.6624e+00  1.0131e+01  -0.6576 0.5110767          
                idSWE         -1.6067e+00  1.0090e+01  -0.1592 0.8735428          
                idTWN          2.1389e+01  1.0275e+01   2.0817 0.0378714 *        
                idUSA          1.9550e+02  2.7657e+01   7.0688 5.237e-12 ***      
                time1996      -1.1673e+01  1.0022e+01  -1.1647 0.2446852          
                time1997      -5.9865e+00  1.0022e+01  -0.5974 0.5505354          
                time1998       2.7782e+00  1.0024e+01   0.2771 0.7817806          
                time1999       1.2892e+00  1.0100e+01   0.1277 0.8984767          
                time2000       7.9588e+00  1.0106e+01   0.7875 0.4313548          
                time2001       9.3745e+00  1.0032e+01   0.9345 0.3505103          
                time2002       4.2426e+00  1.0051e+01   0.4221 0.6731227          
                time2003      -7.3039e+00  1.0152e+01  -0.7195 0.4721959          
                time2004       1.9444e+01  1.0032e+01   1.9381 0.0531727 .        
                time2005       2.8613e+01  1.0060e+01   2.8443 0.0046315 **       
                time2006       2.3039e+01  1.0232e+01   2.2517 0.0247727 *        
                time2007       3.2661e+01  1.0342e+01   3.1580 0.0016836 **       
                time2008       3.3121e+01  1.0177e+01   3.2545 0.0012123 **       
                time2009       4.1929e+01  1.0447e+01   4.0136 6.887e-05 ***      
                time2010       4.1661e+01  1.0506e+01   3.9654 8.387e-05 ***      
                time2011       2.9188e+01  1.0634e+01   2.7447 0.0062724 **       
                time2012      -1.7515e+01  1.0768e+01  -1.6266 0.1044545          
                time2013      -1.0821e+01  1.0726e+01  -1.0089 0.3135244          
                time2014      -6.5982e+00  1.0575e+01  -0.6239 0.5329633          
                time2015       9.9497e+00  1.0532e+01   0.9447 0.3452520          
                time2016       6.2850e+00  1.0440e+01   0.6020 0.5474271          
                time2017       2.0554e+01  1.0394e+01   1.9776 0.0485238 *        
                time2018       1.5678e+01  1.0404e+01   1.5070 0.1324320          
                time2019      -1.2971e+01  1.0479e+01  -1.2379 0.2163379          
                iis165         4.2909e+02  3.8341e+01  11.1915 < 2.2e-16 ***      
                iis166         4.5129e+02  4.0517e+01  11.1383 < 2.2e-16 ***      
                iis167         4.8232e+02  4.3883e+01  10.9910 < 2.2e-16 ***      
                iis168         2.2601e+02  4.8094e+01   4.6993 3.373e-06 ***      
                iis180         1.1933e+02  4.0941e+01   2.9146 0.0037200 **       
                iis186        -3.9725e+02  3.9920e+01  -9.9511 < 2.2e-16 ***      
                iis188        -2.5209e+02  3.8963e+01  -6.4699 2.325e-10 ***      
                iis388         2.4430e+02  4.2842e+01   5.7025 2.014e-08 ***      
                iis389         2.3018e+02  4.0314e+01   5.7098 1.935e-08 ***      
                iis392         1.9477e+02  3.8653e+01   5.0389 6.535e-07 ***      
                iis396         1.9342e+02  3.8613e+01   5.0092 7.572e-07 ***      
                iis398         4.0520e+02  4.5477e+01   8.9099 < 2.2e-16 ***      
                iis399         1.1545e+03  4.1512e+01  27.8104 < 2.2e-16 ***      
                iis400         4.2115e+02  4.1437e+01  10.1636 < 2.2e-16 ***      
                iis401        -3.9525e+02  4.3649e+01  -9.0552 < 2.2e-16 ***      
                iis402        -4.9818e+02  4.1056e+01 -12.1341 < 2.2e-16 ***      
                iis404        -2.9816e+02  3.9780e+01  -7.4951 2.999e-13 ***      
                iis408        -8.2909e+02  3.9767e+01 -20.8486 < 2.2e-16 ***      
                iis409        -1.5856e+02  7.1662e+01  -2.2127 0.0273682 *        
                iis410        -1.7337e+02  6.6567e+01  -2.6044 0.0094755 **       
                iis411        -1.9438e+02  7.1070e+01  -2.7350 0.0064581 **       
                iis412        -1.6621e+02  6.1657e+01  -2.6958 0.0072573 **       
                iis413        -1.7923e+02  5.4138e+01  -3.3106 0.0009978 ***      
                iis414        -1.4418e+02  5.0111e+01  -2.8771 0.0041836 **       
                iis415        -2.1448e+02  4.4559e+01  -4.8135 1.963e-06 ***      
                iis419        -1.5983e+02  3.9207e+01  -4.0766 5.309e-05 ***      
                iis422         2.6861e+02  5.0065e+01   5.3652 1.235e-07 ***      
                iis423         2.5211e+02  4.4962e+01   5.6072 3.392e-08 ***      
                iis426         1.9862e+02  4.4432e+01   4.4702 9.659e-06 ***      
                iis429         3.9893e+02  4.3234e+01   9.2274 < 2.2e-16 ***      
                iis587         1.7713e+02  4.9845e+01   3.5537 0.0004156 ***      
                iis588         3.0973e+02  4.6028e+01   6.7291 4.651e-11 ***      
                iis589         3.5058e+02  4.2378e+01   8.2727 1.177e-15 ***      
                iis590         2.9247e+02  4.0337e+01   7.2507 1.570e-12 ***      
                iis595        -3.7476e+02  4.0783e+01  -9.1892 < 2.2e-16 ***      
                fesisCHN.2008  1.3512e+02  1.8507e+01   7.3008 1.122e-12 ***      
                fesisDEU.2007  1.9714e+02  2.6259e+01   7.5074 2.757e-13 ***      
                fesisDEU.2013 -1.3553e+02  2.3004e+01  -5.8916 6.999e-09 ***      
                fesisJPN.1999  8.9405e+01  3.3967e+01   2.6321 0.0087456 **       
                fesisJPN.2009  2.1560e+02  3.6112e+01   5.9703 4.472e-09 ***      
                fesisKOR.2009  1.5393e+02  5.3295e+01   2.8883 0.0040396 **       
                fesisKOR.2014 -3.7554e+02  4.0095e+01  -9.3663 < 2.2e-16 ***      
                fesisKOR.2016  2.2035e+02  4.0210e+01   5.4801 6.727e-08 ***      
                fesisUSA.2006  1.7660e+02  4.5950e+01   3.8433 0.0001369 ***      
                fesisUSA.2014 -1.9800e+02  2.7149e+01  -7.2931 1.182e-12 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df  p-value         
                Ljung-Box AR(1)    1.3612  1 0.243329         
                Ljung-Box ARCH(1) 10.0207  1 0.001548 **      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    34.7698      
                R-squared            0.9986      
                Log-lik.(n=600)  -2932.6126      

Log Count

0.01

                Formula: log_count~ lgdp + lpop      
                top_25 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Wed Jan 10 11:28:13 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1            0.636232  0.024910 25.5415 < 2.2e-16 ***      
                lgdp           0.762430  0.084396  9.0340 < 2.2e-16 ***      
                lpop          -1.048106  0.266119 -3.9385 9.302e-05 ***      
                idAUT          0.195904  0.236754  0.8275 0.4083512          
                idBEL         -0.498357  0.250474 -1.9897 0.0471455 *        
                idBRA          1.058534  0.555081  1.9070 0.0570651 .        
                idCAN          0.669440  0.131204  5.1023 4.692e-07 ***      
                idCHE         -0.316161  0.255001 -1.2398 0.2155842          
                idCHN          2.476612  1.026591  2.4125 0.0161857 *        
                idDEU          1.904768  0.362058  5.2609 2.088e-07 ***      
                idDNK         -1.727383  0.371643 -4.6480 4.241e-06 ***      
                idESP          1.078493  0.216157  4.9894 8.239e-07 ***      
                idFIN         -0.173430  0.342615 -0.5062 0.6129324          
                idFRA          1.435668  0.296685  4.8390 1.716e-06 ***      
                idGBR          1.444132  0.292571  4.9360 1.071e-06 ***      
                idIND          1.376620  0.972640  1.4153 0.1575582          
                idISR         -0.866030  0.278275 -3.1121 0.0019581 **       
                idITA          1.112735  0.273465  4.0690 5.444e-05 ***      
                idJPN         -1.235605  0.507598 -2.4342 0.0152550 *        
                idKOR         -3.320619  0.492158 -6.7471 3.984e-11 ***      
                idNLD          0.475386  0.095432  4.9814 8.571e-07 ***      
                idNOR         -2.303228  0.429565 -5.3618 1.235e-07 ***      
                idRUS         -0.901839  0.498676 -1.8085 0.0711035 .        
                idSGP         -0.675070  0.416322 -1.6215 0.1055060          
                idSWE         -1.019041  0.278536 -3.6586 0.0002791 ***      
                idTWN          0.818604  0.082912  9.8732 < 2.2e-16 ***      
                idUSA          2.158710  0.664717  3.2476 0.0012381 **       
                time1996      -2.401691  4.133730 -0.5810 0.5614899          
                time1997      -2.451111  4.135741 -0.5927 0.5536591          
                time1998      -2.347439  4.136885 -0.5674 0.5706560          
                time1999      -2.255193  4.138382 -0.5449 0.5860214          
                time2000      -2.258907  4.140164 -0.5456 0.5855661          
                time2001      -2.219308  4.140840 -0.5360 0.5922151          
                time2002      -2.254488  4.142533 -0.5442 0.5865139          
                time2003      -2.192736  4.143455 -0.5292 0.5968863          
                time2004      -2.143159  4.145184 -0.5170 0.6053565          
                time2005      -2.076703  4.147272 -0.5007 0.6167635          
                time2006      -2.018724  4.149216 -0.4865 0.6267927          
                time2007      -1.902666  4.151926 -0.4583 0.6469538          
                time2008      -1.855776  4.153772 -0.4468 0.6552255          
                time2009      -1.822779  4.155064 -0.4387 0.6610670          
                time2010      -1.841407  4.155587 -0.4431 0.6578636          
                time2011      -1.850125  4.157268 -0.4450 0.6564780          
                time2012      -1.970290  4.159034 -0.4737 0.6358834          
                time2013      -2.083790  4.161045 -0.5008 0.6167314          
                time2014      -2.072210  4.163007 -0.4978 0.6188555          
                time2015      -2.119408  4.164977 -0.5089 0.6110604          
                time2016      -2.025424  4.167035 -0.4861 0.6271275          
                time2017      -1.983459  4.168720 -0.4758 0.6344170          
                time2018      -2.042743  4.170210 -0.4898 0.6244497          
                time2019      -2.191854  4.171666 -0.5254 0.5995161          
                iis50          0.886995  0.191038  4.6430 4.340e-06 ***      
                iis56         -0.612040  0.190237 -3.2173 0.0013738 **       
                iis73         -0.733782  0.192059 -3.8206 0.0001490 ***      
                iis94         -0.965798  0.203253 -4.7517 2.605e-06 ***      
                iis195         1.129026  0.198224  5.6957 2.044e-08 ***      
                iis223        -0.765278  0.190102 -4.0256 6.517e-05 ***      
                iis483         0.764872  0.195267  3.9171 0.0001014 ***      
                iis506        -1.158394  0.207854 -5.5731 3.998e-08 ***      
                iis515        -1.058932  0.200685 -5.2766 1.926e-07 ***      
                iis553        -0.918330  0.196135 -4.6821 3.616e-06 ***      
                iis556        -0.803460  0.191224 -4.2017 3.112e-05 ***      
                iis557        -0.741189  0.192446 -3.8514 0.0001319 ***      
                fesisBEL.1997  0.607294  0.190634  3.1856 0.0015298 **       
                fesisBRA.2014  0.298997  0.094958  3.1487 0.0017327 **       
                fesisDNK.2005  0.463684  0.083493  5.5536 4.444e-08 ***      
                fesisIND.1998 -0.727865  0.169925 -4.2834 2.188e-05 ***      
                fesisIND.2001  0.563909  0.119736  4.7096 3.178e-06 ***      
                fesisRUS.2007 -0.421045  0.088927 -4.7347 2.823e-06 ***      
                fesisSGP.2001 -0.809319  0.161851 -5.0004 7.803e-07 ***      
                fesisSGP.2003  1.071970  0.151958  7.0544 5.477e-12 ***      
                fesisSGP.2010 -0.389012  0.101909 -3.8172 0.0001510 ***      
                fesisSWE.1998 -0.597890  0.141110 -4.2370 2.674e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    2.8282  1   0.09262 .        
                Ljung-Box ARCH(1) 17.8007  1 2.453e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.18162      
                R-squared          0.98876      
                Log-lik.(n=600)  208.63173      
0.05

                Formula: log_count~ lgdp + lpop      
                top_25 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Wed Jan 10 11:28:09 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1            0.633359  0.022676 27.9311 < 2.2e-16 ***      
                lgdp           0.604574  0.086134  7.0190 7.350e-12 ***      
                lpop          -1.125066  0.286065 -3.9329 9.583e-05 ***      
                idAUT         -0.100008  0.243333 -0.4110 0.6812552          
                idBEL         -0.314928  0.199172 -1.5812 0.1144707          
                idBRA          1.501689  0.588232  2.5529 0.0109806 *        
                idCAN          0.729195  0.134828  5.4083 9.893e-08 ***      
                idCHE         -0.445876  0.277635 -1.6060 0.1089132          
                idCHN          3.285069  1.091027  3.0110 0.0027362 **       
                idDEU          2.114409  0.381776  5.5383 4.951e-08 ***      
                idDNK         -1.734702  0.399491 -4.3423 1.709e-05 ***      
                idESP          0.881185  0.225409  3.9093 0.0001054 ***      
                idFIN         -0.600038  0.355862 -1.6862 0.0923929 .        
                idFRA          1.573096  0.314014  5.0096 7.587e-07 ***      
                idGBR          1.551567  0.310304  5.0002 7.950e-07 ***      
                idIND          2.185000  1.022396  2.1371 0.0330735 *        
                idISR         -1.633142  0.371785 -4.3927 1.369e-05 ***      
                idITA          1.211826  0.290954  4.1650 3.670e-05 ***      
                idJPN         -0.165271  0.512161 -0.3227 0.7470632          
                idKOR         -2.188347  0.493529 -4.4341 1.139e-05 ***      
                idNLD          0.322275  0.090318  3.5682 0.0003942 ***      
                idNOR         -2.319882  0.460159 -5.0415 6.478e-07 ***      
                idRUS         -0.289414  0.509648 -0.5679 0.5703785          
                idSGP         -1.145973  0.435186 -2.6333 0.0087189 **       
                idSWE         -0.974176  0.290549 -3.3529 0.0008606 ***      
                idTWN          0.750565  0.078261  9.5905 < 2.2e-16 ***      
                idUSA          2.744874  0.701433  3.9132 0.0001037 ***      
                time1996       3.302996  4.285935  0.7707 0.4412744          
                time1997       3.270984  4.287089  0.7630 0.4458337          
                time1998       3.387480  4.288120  0.7900 0.4299221          
                time1999       3.471767  4.289693  0.8093 0.4187133          
                time2000       3.476901  4.291444  0.8102 0.4182159          
                time2001       3.512752  4.291993  0.8184 0.4134957          
                time2002       3.421026  4.293041  0.7969 0.4259022          
                time2003       3.540172  4.293742  0.8245 0.4100527          
                time2004       3.573256  4.295176  0.8319 0.4058511          
                time2005       3.648806  4.296983  0.8492 0.3962028          
                time2006       3.673378  4.298309  0.8546 0.3931780          
                time2007       3.815471  4.301162  0.8871 0.3754644          
                time2008       3.852013  4.302646  0.8953 0.3710775          
                time2009       3.912240  4.304318  0.9089 0.3638370          
                time2010       3.894794  4.304632  0.9048 0.3660134          
                time2011       3.891353  4.306336  0.9036 0.3666262          
                time2012       3.774275  4.308211  0.8761 0.3814168          
                time2013       3.682159  4.309944  0.8543 0.3933272          
                time2014       3.691070  4.312226  0.8560 0.3924345          
                time2015       3.611275  4.314061  0.8371 0.4029412          
                time2016       3.734756  4.316159  0.8653 0.3872928          
                time2017       3.769558  4.317644  0.8731 0.3830516          
                time2018       3.705600  4.319124  0.8580 0.3913318          
                time2019       3.624907  4.320660  0.8390 0.4018883          
                iis27         -0.524443  0.160244 -3.2728 0.0011389 **       
                iis49         -0.474768  0.181760 -2.6121 0.0092716 **       
                iis50          1.007119  0.182043  5.5323 5.114e-08 ***      
                iis56         -0.720985  0.161639 -4.4605 1.012e-05 ***      
                iis58         -0.566003  0.161327 -3.5084 0.0004916 ***      
                iis72         -0.634182  0.161181 -3.9346 9.518e-05 ***      
                iis73         -0.917359  0.192545 -4.7644 2.489e-06 ***      
                iis82          0.519657  0.162496  3.1980 0.0014720 **       
                iis83          0.513767  0.162552  3.1606 0.0016702 **       
                iis92          0.643901  0.162063  3.9731 8.141e-05 ***      
                iis94         -0.657708  0.162397 -4.0500 5.939e-05 ***      
                iis95          0.535322  0.162332  3.2977 0.0010445 **       
                iis145        -0.596500  0.168117 -3.5481 0.0004247 ***      
                iis147        -0.409195  0.165821 -2.4677 0.0139340 *        
                iis194        -0.480417  0.167868 -2.8619 0.0043888 **       
                iis195         1.041198  0.169040  6.1595 1.506e-09 ***      
                iis218        -0.361345  0.171813 -2.1031 0.0359552 *        
                iis223        -0.533500  0.171459 -3.1115 0.0019681 **       
                iis457         0.430095  0.161484  2.6634 0.0079863 **       
                iis474        -0.458964  0.159810 -2.8719 0.0042535 **       
                iis481         0.368186  0.168846  2.1806 0.0296805 *        
                iis483         0.822877  0.168394  4.8866 1.385e-06 ***      
                iis487         0.384521  0.167244  2.2992 0.0219086 *        
                iis490         0.418126  0.168784  2.4773 0.0135695 *        
                iis506        -1.158426  0.175506 -6.6005 1.051e-10 ***      
                iis510        -0.511159  0.222053 -2.3020 0.0217488 *        
                iis515        -0.963431  0.171646 -5.6129 3.308e-08 ***      
                iis517         0.357915  0.172200  2.0785 0.0381768 *        
                iis528        -0.451729  0.164726 -2.7423 0.0063206 **       
                iis553        -0.958510  0.166945 -5.7415 1.634e-08 ***      
                iis556        -0.836655  0.161318 -5.1864 3.125e-07 ***      
                iis557        -0.774997  0.162521 -4.7686 2.440e-06 ***      
                fesisBEL.2001  0.245710  0.098962  2.4829 0.0133613 *        
                fesisBRA.1999 -0.541231  0.143811 -3.7635 0.0001875 ***      
                fesisBRA.2002  0.401651  0.101293  3.9652 8.407e-05 ***      
                fesisCHE.2003 -0.597467  0.167213 -3.5731 0.0003871 ***      
                fesisCHE.2004  0.490543  0.161912  3.0297 0.0025752 **       
                fesisCHN.2015  0.256648  0.095433  2.6893 0.0074004 **       
                fesisDNK.2005  0.411382  0.073424  5.6028 3.495e-08 ***      
                fesisESP.2003  0.276991  0.083599  3.3133 0.0009891 ***      
                fesisIND.1998 -0.717927  0.143655 -4.9976 8.052e-07 ***      
                fesisIND.2001  0.688625  0.103662  6.6430 8.073e-11 ***      
                fesisISR.1997  0.576121  0.168543  3.4183 0.0006819 ***      
                fesisISR.2005 -0.375676  0.167185 -2.2471 0.0250732 *        
                fesisISR.2006  0.792266  0.180692  4.3846 1.418e-05 ***      
                fesisISR.2009 -0.381719  0.104286 -3.6603 0.0002788 ***      
                fesisRUS.2007 -0.263223  0.085634 -3.0738 0.0022294 **       
                fesisSGP.2001 -0.505920  0.175537 -2.8821 0.0041206 **       
                fesisSGP.2003  0.791363  0.172152  4.5969 5.443e-06 ***      
                fesisSGP.2010 -0.224373  0.095873 -2.3403 0.0196610 *        
                fesisSWE.1998 -0.563195  0.119622 -4.7081 3.245e-06 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)    8.274  1 0.0040216 **       
                Ljung-Box ARCH(1) 13.435  1 0.0002469 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.15287      
                R-squared          0.99248      
                Log-lik.(n=600)  326.54962      

top_50

Count

0.01

                Formula: count~ gdp + pop      
                top_50 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Wed Jan 10 11:52:54 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 1200       
                Sample: 1 to 1200       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            9.6011e-01  4.5440e-03 211.2900 < 2.2e-16 ***      
                gdp            2.1107e-17  1.7922e-15   0.0118  0.990605          
                pop            2.2389e-08  3.8273e-08   0.5850  0.558680          
                idAUS          6.3034e+00  6.6314e+00   0.9505  0.342055          
                idAUT          9.0007e+00  6.7056e+00   1.3423  0.179790          
                idBEL          3.3525e+00  6.6817e+00   0.5017  0.615957          
                idBGR          7.5737e-01  6.6981e+00   0.1131  0.909994          
                idBRA         -2.0710e+00  8.7461e+00  -0.2368  0.812861          
                idCAN          1.2783e+01  6.6394e+00   1.9254  0.054446 .        
                idCHE          6.4251e+00  6.7137e+00   0.9570  0.338778          
                idCHL          7.0008e-01  6.6483e+00   0.1053  0.916155          
                idCHN         -3.9496e+00  4.7984e+01  -0.0823  0.934416          
                idCZE          1.2408e+00  6.6796e+00   0.1858  0.852667          
                idDEU          7.7421e+01  8.8722e+00   8.7262 < 2.2e-16 ***      
                idDNK          1.7085e+01  6.7640e+00   2.5259  0.011681 *        
                idESP          6.1392e+00  6.5950e+00   0.9309  0.352120          
                idFIN          3.3970e+00  6.7202e+00   0.5055  0.613320          
                idFRA          2.8043e+01  6.7880e+00   4.1313 3.886e-05 ***      
                idGBR          2.0939e+01  6.7187e+00   3.1166  0.001878 **       
                idGRC          8.2838e-01  6.6762e+00   0.1241  0.901276          
                idHKG          1.4840e+00  6.7034e+00   0.2214  0.824838          
                idHUN          9.9349e-01  6.6823e+00   0.1487  0.881839          
                idIND         -1.8594e+01  4.4571e+01  -0.4172  0.676630          
                idIRL          2.2980e+00  6.7236e+00   0.3418  0.732585          
                idIRN         -8.0885e-01  2.1442e+01  -0.0377  0.969915          
                idISR          4.7172e+00  6.7100e+00   0.7030  0.482199          
                idITA          8.6445e+00  6.6362e+00   1.3026  0.192985          
                idJPN          1.6440e+02  1.2976e+01  12.6693 < 2.2e-16 ***      
                idKOR          2.9368e+01  1.0041e+01   2.9248  0.003518 **       
                idLUX          8.9785e-01  6.7538e+00   0.1329  0.894266          
                idMEX         -1.1171e+00  7.0886e+00  -0.1576  0.874810          
                idMYS          6.4510e-01  6.6007e+00   0.0977  0.922163          
                idNLD          8.0983e+00  6.6634e+00   1.2153  0.224500          
                idNOR          4.0051e+00  6.7227e+00   0.5958  0.551459          
                idNZL          1.4021e+00  6.7239e+00   0.2085  0.834863          
                idPHL         -1.2088e+00  6.8589e+00  -0.1762  0.860144          
                idPOL          1.3463e+00  6.5825e+00   0.2045  0.837975          
                idPRT          1.0767e+00  6.6795e+00   0.1612  0.871967          
                idROU          4.2755e-01  6.6226e+00   0.0646  0.948536          
                idRUS          6.6795e-01  7.6950e+00   0.0868  0.930845          
                idSAU          2.0479e+00  6.6008e+00   0.3103  0.756425          
                idSGP          2.7369e+00  6.7222e+00   0.4071  0.683985          
                idSVK          8.6318e-01  6.7143e+00   0.1286  0.897731          
                idSVN          9.2755e-01  6.7409e+00   0.1376  0.890582          
                idSWE          4.9491e+00  6.6978e+00   0.7389  0.460116          
                idTHA         -5.8845e-01  6.6600e+00  -0.0884  0.929610          
                idTUR          9.5333e-01  6.6901e+00   0.1425  0.886713          
                idTWN          1.8649e+01  6.6830e+00   2.7905  0.005355 **       
                idUKR          6.6181e-01  6.5870e+00   0.1005  0.919989          
                idUSA          1.4089e+02  1.4026e+01  10.0451 < 2.2e-16 ***      
                idVNM         -1.1039e+00  8.1709e+00  -0.1351  0.892559          
                idZAF          4.2724e-01  6.5947e+00   0.0648  0.948357          
                time1996      -8.1331e+00  5.7787e+00  -1.4074  0.159589          
                time1997      -5.7067e+00  5.7849e+00  -0.9865  0.324121          
                time1998      -2.1743e+00  5.7906e+00  -0.3755  0.707369          
                time1999      -2.1962e+00  5.8069e+00  -0.3782  0.705349          
                time2000       4.2723e-01  5.8121e+00   0.0735  0.941417          
                time2001       1.7263e+00  5.8006e+00   0.2976  0.766066          
                time2002      -3.6331e+00  5.8050e+00  -0.6259  0.531544          
                time2003      -6.9429e+00  5.8322e+00  -1.1904  0.234139          
                time2004       2.1878e+00  5.8340e+00   0.3750  0.707722          
                time2005       9.2383e+00  5.8259e+00   1.5857  0.113092          
                time2006       3.7766e+00  5.8480e+00   0.6458  0.518552          
                time2007       1.1759e+01  5.8927e+00   1.9955  0.046243 *        
                time2008       1.2270e+01  5.8739e+00   2.0889  0.036954 *        
                time2009       1.1004e+01  5.9100e+00   1.8619  0.062890 .        
                time2010       1.1439e+01  5.8921e+00   1.9414  0.052472 .        
                time2011       3.8597e+00  5.8943e+00   0.6548  0.512721          
                time2012      -1.3428e+01  5.9176e+00  -2.2692  0.023454 *        
                time2013      -1.4036e+01  5.9346e+00  -2.3651  0.018203 *        
                time2014      -1.2379e+01  5.9248e+00  -2.0894  0.036903 *        
                time2015      -2.8175e+00  5.9474e+00  -0.4737  0.635791          
                time2016      -6.0636e+00  5.9381e+00  -1.0211  0.307414          
                time2017       5.0722e+00  5.9476e+00   0.8528  0.393949          
                time2018      -1.9815e+00  5.9400e+00  -0.3336  0.738755          
                time2019      -9.8070e+00  5.9762e+00  -1.6410  0.101087          
                iis237         4.0046e+02  2.4533e+01  16.3234 < 2.2e-16 ***      
                iis238         3.9190e+02  2.4796e+01  15.8048 < 2.2e-16 ***      
                iis239         3.9238e+02  2.5211e+01  15.5635 < 2.2e-16 ***      
                iis240         8.4258e+01  2.5775e+01   3.2689  0.001113 **       
                iis276         1.3035e+02  2.6797e+01   4.8643 1.319e-06 ***      
                iis278         8.5410e+01  2.6619e+01   3.2086  0.001373 **       
                iis282        -4.8972e+02  2.5877e+01 -18.9245 < 2.2e-16 ***      
                iis284        -3.0263e+02  2.5769e+01 -11.7437 < 2.2e-16 ***      
                iis288        -2.3173e+02  2.5775e+01  -8.9906 < 2.2e-16 ***      
                iis604         3.0148e+02  2.4576e+01  12.2673 < 2.2e-16 ***      
                iis605         2.6210e+02  2.4442e+01  10.7232 < 2.2e-16 ***      
                iis608         1.8461e+02  2.4466e+01   7.5459 9.510e-14 ***      
                iis612         1.6466e+02  2.4730e+01   6.6581 4.404e-11 ***      
                iis614         5.1797e+02  2.6492e+01  19.5519 < 2.2e-16 ***      
                iis615         1.2206e+03  2.5986e+01  46.9707 < 2.2e-16 ***      
                iis616         3.8753e+02  2.5886e+01  14.9705 < 2.2e-16 ***      
                iis617        -4.8926e+02  2.6158e+01 -18.7040 < 2.2e-16 ***      
                iis618        -5.5086e+02  2.5879e+01 -21.2856 < 2.2e-16 ***      
                iis620        -3.0499e+02  2.5766e+01 -11.8371 < 2.2e-16 ***      
                iis624        -8.5298e+02  2.5769e+01 -33.1014 < 2.2e-16 ***      
                iis633         1.6466e+02  2.5277e+01   6.5142 1.118e-10 ***      
                iis638         3.6500e+02  2.8644e+01  12.7430 < 2.2e-16 ***      
                iis639         3.1025e+02  2.8328e+01  10.9522 < 2.2e-16 ***      
                iis642         1.7881e+02  2.8236e+01   6.3326 3.529e-10 ***      
                iis643        -2.4091e+02  2.6615e+01  -9.0517 < 2.2e-16 ***      
                iis644        -2.1859e+02  2.6614e+01  -8.2132 6.095e-16 ***      
                iis645         4.2327e+02  2.6652e+01  15.8813 < 2.2e-16 ***      
                iis1139        3.1702e+02  2.3844e+01  13.2955 < 2.2e-16 ***      
                iis1140        4.2246e+02  2.3905e+01  17.6730 < 2.2e-16 ***      
                iis1141        4.2754e+02  2.4160e+01  17.6964 < 2.2e-16 ***      
                iis1142        3.4479e+02  2.4598e+01  14.0173 < 2.2e-16 ***      
                iis1147       -4.5585e+02  2.5990e+01 -17.5398 < 2.2e-16 ***      
                iis1150       -1.0570e+02  2.5758e+01  -4.1036 4.374e-05 ***      
                fesisCHN.2008  9.9924e+01  1.1070e+01   9.0264 < 2.2e-16 ***      
                fesisDEU.2007  1.7323e+02  1.5721e+01  11.0192 < 2.2e-16 ***      
                fesisDEU.2012 -3.2082e+02  2.6679e+01 -12.0253 < 2.2e-16 ***      
                fesisDEU.2013  1.9499e+02  2.5950e+01   7.5139 1.200e-13 ***      
                fesisJPN.2008 -1.5213e+02  2.4914e+01  -6.1061 1.422e-09 ***      
                fesisJPN.2009  2.2462e+02  2.6376e+01   8.5159 < 2.2e-16 ***      
                fesisKOR.2003  1.0988e+02  1.3693e+01   8.0246 2.637e-15 ***      
                fesisKOR.2009  9.6729e+01  2.0417e+01   4.7376 2.450e-06 ***      
                fesisKOR.2014 -1.6836e+02  2.1119e+01  -7.9719 3.949e-15 ***      
                fesisUSA.2014 -1.1933e+02  1.3788e+01  -8.6548 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                    Chi-sq df   p-value          
                Ljung-Box AR(1)    0.38698  1    0.5339          
                Ljung-Box ARCH(1) 58.54843  1 1.987e-14 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    22.79995      
                R-squared            0.99884      
                Log-lik.(n=1200) -5395.33639      
0.05

                Formula: count~ gdp + pop      
                top_50 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Wed Jan 10 11:52:47 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 1200       
                Sample: 1 to 1200       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            9.2461e-01  8.4500e-03 109.4207 < 2.2e-16 ***      
                gdp           -3.5315e-16  1.5576e-15  -0.2267 0.8206846          
                pop            2.4930e-08  3.3260e-08   0.7495 0.4536955          
                idAUS          8.8543e+00  5.7793e+00   1.5321 0.1258028          
                idAUT          1.1571e+01  5.8447e+00   1.9797 0.0479970 *        
                idBEL          4.8066e+00  5.8060e+00   0.8279 0.4079380          
                idBGR          8.5737e-01  5.8114e+00   0.1475 0.8827397          
                idBRA         -1.9711e+00  7.5918e+00  -0.2596 0.7951935          
                idCAN          1.9131e+01  5.9140e+00   3.2349 0.0012543 **       
                idCHE          9.4181e+00  5.8609e+00   1.6069 0.1083646          
                idCHL          8.2976e-01  5.7681e+00   0.1439 0.8856438          
                idCHN         -3.6134e+00  4.1678e+01  -0.0867 0.9309278          
                idCZE          1.5322e+00  5.7957e+00   0.2644 0.7915434          
                idDEU          9.9400e+01  9.0118e+00  11.0300 < 2.2e-16 ***      
                idDNK          2.2779e+01  5.9938e+00   3.8005 0.0001526 ***      
                idESP          9.2525e+00  5.7587e+00   1.6067 0.1084162          
                idFIN          4.8674e+00  5.8399e+00   0.8335 0.4047609          
                idFRA          3.9477e+01  6.3566e+00   6.2104 7.559e-10 ***      
                idGBR          2.9754e+01  6.1132e+00   4.8672 1.302e-06 ***      
                idGRC          1.0767e+00  5.7927e+00   0.1859 0.8525761          
                idHKG          1.8248e+00  5.8166e+00   0.3137 0.7537962          
                idHUN          1.2284e+00  5.7979e+00   0.2119 0.8322490          
                idIND         -1.9103e+01  3.8719e+01  -0.4934 0.6218463          
                idIRL          2.7416e+00  5.8345e+00   0.4699 0.6385227          
                idIRN          3.3499e+00  1.8630e+01   0.1798 0.8573285          
                idISR          6.9156e+00  5.8416e+00   1.1839 0.2367301          
                idITA          1.2742e+01  5.8200e+00   2.1893 0.0287938 *        
                idJPN          1.4530e+02  1.7151e+01   8.4715 < 2.2e-16 ***      
                idKOR          3.4646e+01  8.7947e+00   3.9394 8.700e-05 ***      
                idLUX          1.0118e+00  5.8599e+00   0.1727 0.8629464          
                idMEX         -1.1345e+00  6.1509e+00  -0.1844 0.8537036          
                idMYS          8.3617e-01  5.7267e+00   0.1460 0.8839394          
                idNLD          1.1593e+01  5.8294e+00   1.9887 0.0469939 *        
                idNOR          5.1980e+00  5.8390e+00   0.8902 0.3735461          
                idNZL          1.8436e+00  5.8348e+00   0.3160 0.7520916          
                idPHL         -1.3386e+00  5.9514e+00  -0.2249 0.8220763          
                idPOL          1.7860e+00  5.7115e+00   0.3127 0.7545706          
                idPRT          1.3427e+00  5.7956e+00   0.2317 0.8168366          
                idROU          5.5846e-01  5.7457e+00   0.0972 0.9225887          
                idRUS          1.8442e+00  6.6805e+00   0.2761 0.7825608          
                idSAU          2.3916e+00  5.7272e+00   0.4176 0.6763351          
                idSGP          3.7011e+00  5.8365e+00   0.6341 0.5261367          
                idSVK          9.8203e-01  5.8255e+00   0.1686 0.8661641          
                idSVN          1.0296e+00  5.8487e+00   0.1760 0.8602944          
                idSWE          7.3938e+00  5.8353e+00   1.2671 0.2054052          
                idTHA         -6.3127e-01  5.7782e+00  -0.1093 0.9130240          
                idTUR          1.2263e+00  5.8044e+00   0.2113 0.8327151          
                idTWN          2.5702e+01  5.9876e+00   4.2925 1.927e-05 ***      
                idUKR          9.1733e-01  5.7149e+00   0.1605 0.8725061          
                idUSA         -5.3707e+00  2.2240e+01  -0.2415 0.8092197          
                idVNM         -2.5521e-01  7.0911e+00  -0.0360 0.9712967          
                idZAF          8.3903e-01  5.7219e+00   0.1466 0.8834478          
                time1996      -5.5202e+00  5.0425e+00  -1.0947 0.2738767          
                time1997      -6.9386e+00  5.0376e+00  -1.3774 0.1686917          
                time1998      -5.3964e+00  5.0493e+00  -1.0687 0.2854239          
                time1999      -4.1968e+00  5.0512e+00  -0.8309 0.4062427          
                time2000      -1.3425e+00  5.0526e+00  -0.2657 0.7905177          
                time2001       8.6865e-01  5.0462e+00   0.1721 0.8633609          
                time2002      -4.0827e+00  5.0458e+00  -0.8091 0.4186198          
                time2003      -8.2557e+00  5.0651e+00  -1.6299 0.1034121          
                time2004      -2.8789e-01  5.0805e+00  -0.0567 0.9548231          
                time2005       6.5892e+00  5.0722e+00   1.2991 0.1941944          
                time2006       4.6487e+00  5.0783e+00   0.9154 0.3601895          
                time2007       1.1770e+01  5.1128e+00   2.3020 0.0215245 *        
                time2008       1.2823e+01  5.1079e+00   2.5105 0.0122025 *        
                time2009       1.1867e+01  5.1298e+00   2.3133 0.0208966 *        
                time2010       9.3713e+00  5.1406e+00   1.8230 0.0685820 .        
                time2011       6.5449e+00  5.1327e+00   1.2751 0.2025418          
                time2012      -1.0033e+01  5.1463e+00  -1.9496 0.0514881 .        
                time2013      -1.1056e+01  5.1564e+00  -2.1441 0.0322492 *        
                time2014      -8.3109e+00  5.1622e+00  -1.6100 0.1077027          
                time2015      -3.7579e+00  5.1746e+00  -0.7262 0.4678638          
                time2016      -5.5338e+00  5.1573e+00  -1.0730 0.2835113          
                time2017       3.0592e+00  5.1700e+00   0.5917 0.5541697          
                time2018      -1.2112e+00  5.1736e+00  -0.2341 0.8149402          
                time2019      -8.1555e+00  5.1995e+00  -1.5685 0.1170542          
                iis236         9.1586e+01  2.1499e+01   4.2601 2.224e-05 ***      
                iis237         4.2585e+02  2.1662e+01  19.6584 < 2.2e-16 ***      
                iis238         4.3683e+02  2.2690e+01  19.2521 < 2.2e-16 ***      
                iis239         4.5095e+02  2.4266e+01  18.5839 < 2.2e-16 ***      
                iis240         1.5749e+02  2.6201e+01   6.0111 2.527e-09 ***      
                iis276         3.1337e+02  2.0824e+01  15.0486 < 2.2e-16 ***      
                iis277         1.9105e+02  2.1290e+01   8.9734 < 2.2e-16 ***      
                iis278         2.8779e+02  2.1735e+01  13.2405 < 2.2e-16 ***      
                iis279         2.0249e+02  2.2536e+01   8.9851 < 2.2e-16 ***      
                iis280         2.3457e+02  2.3127e+01  10.1425 < 2.2e-16 ***      
                iis281        -9.7292e+01  2.3866e+01  -4.0766 4.909e-05 ***      
                iis282        -3.9753e+02  2.3248e+01 -17.0996 < 2.2e-16 ***      
                iis284        -2.2267e+02  2.1837e+01 -10.1971 < 2.2e-16 ***      
                iis288        -2.8815e+02  2.4535e+01 -11.7446 < 2.2e-16 ***      
                iis603         1.0950e+02  2.4489e+01   4.4715 8.597e-06 ***      
                iis604         3.0419e+02  2.4608e+01  12.3613 < 2.2e-16 ***      
                iis605         2.7942e+02  2.3625e+01  11.8269 < 2.2e-16 ***      
                iis608         2.1868e+02  2.3099e+01   9.4669 < 2.2e-16 ***      
                iis609         1.1673e+02  2.3099e+01   5.0533 5.106e-07 ***      
                iis610         1.4432e+02  2.3179e+01   6.2265 6.844e-10 ***      
                iis612         3.0895e+02  2.8337e+01  10.9029 < 2.2e-16 ***      
                iis614         5.1540e+02  3.0660e+01  16.8102 < 2.2e-16 ***      
                iis615         1.2442e+03  2.9000e+01  42.9030 < 2.2e-16 ***      
                iis616         4.5370e+02  2.8659e+01  15.8313 < 2.2e-16 ***      
                iis617        -4.0824e+02  2.9471e+01 -13.8522 < 2.2e-16 ***      
                iis618        -4.8621e+02  2.8616e+01 -16.9907 < 2.2e-16 ***      
                iis624        -7.7204e+02  2.8273e+01 -27.3068 < 2.2e-16 ***      
                iis633         1.5440e+02  2.2074e+01   6.9945 4.688e-12 ***      
                iis638         3.2652e+02  2.6233e+01  12.4468 < 2.2e-16 ***      
                iis639         2.9496e+02  2.4938e+01  11.8278 < 2.2e-16 ***      
                iis642         3.4012e+02  2.3120e+01  14.7114 < 2.2e-16 ***      
                iis643        -2.3821e+02  2.3123e+01 -10.3019 < 2.2e-16 ***      
                iis644        -2.2130e+02  2.3109e+01  -9.5764 < 2.2e-16 ***      
                iis645         4.1020e+02  2.3294e+01  17.6099 < 2.2e-16 ***      
                iis1139        7.7608e+01  3.1882e+01   2.4342 0.0150881 *        
                iis1140        1.9828e+02  3.0456e+01   6.5105 1.150e-10 ***      
                iis1141        2.2063e+02  2.9160e+01   7.5662 8.270e-14 ***      
                iis1142        1.5489e+02  2.8447e+01   5.4449 6.432e-08 ***      
                iis1147       -4.4857e+02  2.3803e+01 -18.8450 < 2.2e-16 ***      
                iis1150       -1.1880e+02  2.3083e+01  -5.1469 3.151e-07 ***      
                iis1152       -6.6415e+01  2.3180e+01  -2.8652 0.0042490 **       
                fesisCHN.2008  1.0766e+02  1.0643e+01  10.1157 < 2.2e-16 ***      
                fesisDEU.2017  1.3488e+02  1.6178e+01   8.3374 2.318e-16 ***      
                fesisJPN.1999  6.1667e+01  2.1233e+01   2.9043 0.0037566 **       
                fesisJPN.2007 -9.1087e+01  2.3723e+01  -3.8396 0.0001305 ***      
                fesisJPN.2009  2.2368e+02  3.0338e+01   7.3727 3.345e-13 ***      
                fesisJPN.2015 -2.5436e+02  2.8277e+01  -8.9955 < 2.2e-16 ***      
                fesisJPN.2016  3.6156e+02  2.4545e+01  14.7305 < 2.2e-16 ***      
                fesisJPN.2018 -1.3929e+02  2.4568e+01  -5.6694 1.843e-08 ***      
                fesisKOR.2003  1.2913e+02  1.2505e+01  10.3260 < 2.2e-16 ***      
                fesisKOR.2009  1.4901e+02  2.1078e+01   7.0693 2.807e-12 ***      
                fesisKOR.2013 -1.5396e+02  1.8504e+01  -8.3205 2.649e-16 ***      
                fesisUSA.1997  1.9814e+02  2.1371e+01   9.2714 < 2.2e-16 ***      
                fesisUSA.2006  2.4249e+02  2.8966e+01   8.3714 < 2.2e-16 ***      
                fesisUSA.2011 -2.3001e+02  2.3103e+01  -9.9555 < 2.2e-16 ***      
                fesisUSA.2014 -7.4910e+01  1.7591e+01  -4.2585 2.240e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df  p-value          
                Ljung-Box AR(1)    1.0369  1   0.3086          
                Ljung-Box ARCH(1) 67.4815  1 2.22e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    19.78042      
                R-squared            0.99914      
                Log-lik.(n=1200) -5218.35755      

Log Count

0.01

                Formula: log_count~ lgdp + lpop      
                top_50 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Wed Jan 10 11:54:39 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 1200       
                Sample: 1 to 1200       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error  t-stat   p-value          
                ar1             0.416097   0.023779 17.4983 < 2.2e-16 ***      
                lgdp            0.656927   0.103110  6.3711 2.764e-10 ***      
                lpop            0.089231   0.212437  0.4200 0.6745437          
                idAUS           0.315878   0.375333  0.8416 0.4002005          
                idAUT           1.396931   0.460428  3.0340 0.0024707 **       
                idBEL           0.889325   0.423779  2.0986 0.0360855 *        
                idBGR           1.440739   0.499848  2.8824 0.0040247 **       
                idBRA          -1.415822   0.458960 -3.0848 0.0020879 **       
                idCAN           0.690948   0.352869  1.9581 0.0504749 .        
                idCHE           1.094754   0.480484  2.2784 0.0228932 *        
                idCHL          -4.323771   0.713032 -6.0639 1.829e-09 ***      
                idCHN          -1.750170   0.785148 -2.2291 0.0260109 *        
                idCZE          -1.511602   0.503965 -2.9994 0.0027665 **       
                idDEU           1.333376   0.379430  3.5142 0.0004593 ***      
                idDNK           0.300354   0.577145  0.5204 0.6028808          
                idESP           0.464337   0.334300  1.3890 0.1651219          
                idFIN           1.368145   0.523012  2.6159 0.0090225 **       
                idFRA           0.842411   0.356518  2.3629 0.0183083 *        
                idGBR           0.819771   0.351920  2.3294 0.0200186 *        
                idGRC           0.395024   0.417084  0.9471 0.3437932          
                idHKG          -0.909613   0.532931 -1.7068 0.0881423 .        
                idHUN          -3.060106   0.651021 -4.7005 2.928e-06 ***      
                idIND          -2.833101   0.789129 -3.5902 0.0003452 ***      
                idIRL           1.026902   0.579328  1.7726 0.0765789 .        
                idIRN          -7.112342   1.030521 -6.9017 8.707e-12 ***      
                idISR           0.561197   0.498247  1.1263 0.2602684          
                idITA           0.373576   0.347034  1.0765 0.2819504          
                idJPN          -1.521327   0.703181 -2.1635 0.0307202 *        
                idKOR          -2.740984   0.811580 -3.3773 0.0007578 ***      
                idLUX           1.780586   0.959089  1.8565 0.0636468 .        
                idMEX          -2.657492   0.459785 -5.7799 9.755e-09 ***      
                idMYS          -0.733255   0.339518 -2.1597 0.0310139 *        
                idNLD           1.053387   0.383478  2.7469 0.0061148 **       
                idNOR          -0.406992   0.610198 -0.6670 0.5049242          
                idNZL           0.716507   0.554891  1.2913 0.1968881          
                idPHL          -2.944857   0.434105 -6.7837 1.918e-11 ***      
                idPOL          -0.731064   0.336719 -2.1711 0.0301360 *        
                idPRT           0.460111   0.422958  1.0878 0.2769055          
                idROU          -0.196279   0.351079 -0.5591 0.5762261          
                idRUS          -2.677275   0.562010 -4.7637 2.157e-06 ***      
                idSAU          -1.666008   0.371469 -4.4849 8.067e-06 ***      
                idSGP           0.760728   0.541100  1.4059 0.1600417          
                idSVK           0.865889   0.521628  1.6600 0.0972077 .        
                idSVN           1.354570   0.679681  1.9929 0.0465162 *        
                idSWE          -0.211724   0.517060 -0.4095 0.6822706          
                idTHA          -2.570641   0.406998 -6.3161 3.901e-10 ***      
                idTUR          -1.173313   0.362546 -3.2363 0.0012473 **       
                idTWN           0.212063   0.374542  0.5662 0.5713800          
                idUKR          -1.193101   0.350130 -3.4076 0.0006793 ***      
                idUSA           0.426466   0.547183  0.7794 0.4359221          
                idVNM          -6.349240   0.854771 -7.4280 2.222e-13 ***      
                idZAF          -0.907466   0.373842 -2.4274 0.0153687 *        
                time1996      -18.255823   3.818450 -4.7810 1.984e-06 ***      
                time1997      -18.244343   3.821475 -4.7742 2.051e-06 ***      
                time1998      -18.071921   3.823408 -4.7267 2.581e-06 ***      
                time1999      -18.117424   3.824593 -4.7371 2.455e-06 ***      
                time2000      -17.991552   3.827179 -4.7010 2.921e-06 ***      
                time2001      -17.922821   3.827882 -4.6822 3.196e-06 ***      
                time2002      -17.997904   3.828684 -4.7008 2.923e-06 ***      
                time2003      -17.837925   3.830834 -4.6564 3.614e-06 ***      
                time2004      -17.914384   3.832241 -4.6746 3.313e-06 ***      
                time2005      -17.724655   3.834898 -4.6219 4.256e-06 ***      
                time2006      -17.567957   3.836280 -4.5794 5.200e-06 ***      
                time2007      -17.460823   3.838489 -4.5489 5.998e-06 ***      
                time2008      -17.490059   3.839206 -4.5556 5.812e-06 ***      
                time2009      -17.317413   3.838542 -4.5115 7.137e-06 ***      
                time2010      -17.338080   3.840165 -4.5149 7.023e-06 ***      
                time2011      -17.347833   3.841072 -4.5164 6.975e-06 ***      
                time2012      -17.461550   3.842473 -4.5444 6.126e-06 ***      
                time2013      -17.593768   3.844542 -4.5763 5.277e-06 ***      
                time2014      -17.584035   3.847793 -4.5699 5.437e-06 ***      
                time2015      -17.563463   3.850038 -4.5619 5.645e-06 ***      
                time2016      -17.655678   3.851785 -4.5838 5.095e-06 ***      
                time2017      -17.591076   3.854675 -4.5636 5.601e-06 ***      
                time2018      -17.691688   3.856623 -4.5874 5.010e-06 ***      
                time2019      -17.770946   3.857864 -4.6064 4.580e-06 ***      
                iis4            1.193831   0.329151  3.6270 0.0003000 ***      
                iis5           -0.890976   0.330113 -2.6990 0.0070624 **       
                iis20          -1.243897   0.328871 -3.7823 0.0001638 ***      
                iis415         -1.097052   0.328384 -3.3408 0.0008638 ***      
                iis448         -1.005995   0.327971 -3.0673 0.0022131 **       
                iis462          1.081437   0.329991  3.2772 0.0010817 **       
                iis465          0.915488   0.328690  2.7853 0.0054412 **       
                iis669         -0.928114   0.330196 -2.8108 0.0050305 **       
                iis677         -1.114290   0.328450 -3.3926 0.0007173 ***      
                iis702         -1.175879   0.328785 -3.5764 0.0003636 ***      
                iis802          1.118944   0.328599  3.4052 0.0006853 ***      
                iis816         -1.088042   0.330470 -3.2924 0.0010252 **       
                iis883         -1.462935   0.328495 -4.4534 9.321e-06 ***      
                iis938         -1.149360   0.329481 -3.4884 0.0005053 ***      
                iis993         -1.362933   0.328845 -4.1446 3.668e-05 ***      
                iis1000        -1.080264   0.328184 -3.2916 0.0010280 **       
                iis1063         0.962092   0.332459  2.8939 0.0038811 **       
                iis1176        -1.521333   0.341022 -4.4611 9.000e-06 ***      
                iis1198        -0.878932   0.332325 -2.6448 0.0082916 **       
                fesisARG.1997  -0.918784   0.329239 -2.7906 0.0053524 **       
                fesisBGR.1998  -0.838416   0.240089 -3.4921 0.0004984 ***      
                fesisCHN.2004   0.486858   0.162025  3.0048 0.0027181 **       
                fesisCHN.2016   0.576866   0.191592  3.0109 0.0026648 **       
                fesisDNK.2007   0.530685   0.134477  3.9463 8.446e-05 ***      
                fesisIRL.2001  -1.449785   0.269438 -5.3808 9.077e-08 ***      
                fesisIRL.2003   1.206076   0.240632  5.0121 6.279e-07 ***      
                fesisIRN.2000  -0.809569   0.194559 -4.1611 3.417e-05 ***      
                fesisIRN.2009   0.512173   0.145305  3.5248 0.0004414 ***      
                fesisLUX.2001  -0.630919   0.165747 -3.8065 0.0001488 ***      
                fesisSAU.2011   1.007592   0.147202  6.8450 1.275e-11 ***      
                fesisTUR.2002   0.539024   0.154929  3.4792 0.0005229 ***      
                fesisTWN.2001   0.977426   0.167444  5.8373 6.993e-09 ***      
                fesisVNM.2006  -0.810397   0.178423 -4.5420 6.194e-06 ***      
                fesisVNM.2011   0.896320   0.185091  4.8426 1.467e-06 ***      
                fesisZAF.2005  -0.502571   0.138251 -3.6352 0.0002907 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   12.221  1 0.0004724 ***      
                Ljung-Box ARCH(1) 48.724  1 2.947e-12 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.31762      
                R-squared           0.97677      
                Log-lik.(n=1200) -270.95186      
0.05

                Formula: log_count~ lgdp + lpop      
                top_50 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Wed Jan 10 11:54:29 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 1200       
                Sample: 1 to 1200       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error  t-stat   p-value          
                ar1             0.315881   0.023037 13.7120 < 2.2e-16 ***      
                lgdp            0.970849   0.100602  9.6504 < 2.2e-16 ***      
                lpop           -0.873394   0.236538 -3.6924 0.0002339 ***      
                idAUS           1.019737   0.275548  3.7008 0.0002264 ***      
                idAUT           1.679617   0.392578  4.2784 2.059e-05 ***      
                idBEL           1.302659   0.345455  3.7708 0.0001720 ***      
                idBGR           1.245021   0.388799  3.2022 0.0014058 **       
                idBRA           0.040964   0.459976  0.0891 0.9290542          
                idCAN           1.867677   0.232846  8.0211 2.853e-15 ***      
                idCHE           1.132591   0.426040  2.6584 0.0079734 **       
                idCHL          -5.632550   0.683340 -8.2427 5.123e-16 ***      
                idCHN           2.159375   0.771455  2.7991 0.0052209 **       
                idCZE          -1.981290   0.467710 -4.2362 2.479e-05 ***      
                idDEU           3.408060   0.273473 12.4622 < 2.2e-16 ***      
                idDNK          -0.930459   0.580707 -1.6023 0.1094012          
                idESP           1.554195   0.217615  7.1420 1.744e-12 ***      
                idFIN           1.308935   0.472478  2.7704 0.0057008 **       
                idFRA           2.648842   0.239122 11.0774 < 2.2e-16 ***      
                idGBR           2.627691   0.233684 11.2446 < 2.2e-16 ***      
                idGRC           0.842677   0.333543  2.5264 0.0116724 *        
                idHKG          -1.589191   0.509062 -3.1218 0.0018479 **       
                idHUN          -4.259425   0.636556 -6.6914 3.635e-11 ***      
                idIND           0.471158   0.746654  0.6310 0.5281640          
                idIRL           0.468649   0.513647  0.9124 0.3617761          
                idIRN          -8.549877   0.949569 -9.0040 < 2.2e-16 ***      
                idISR           0.360178   0.455084  0.7915 0.4288621          
                idITA           2.054324   0.225456  9.1119 < 2.2e-16 ***      
                idJPN          -0.554840   0.599397 -0.9257 0.3548385          
                idKOR          -3.515309   0.728064 -4.8283 1.587e-06 ***      
                idLUX          -0.466630   0.982528 -0.4749 0.6349398          
                idMEX          -1.880757   0.380078 -4.9483 8.747e-07 ***      
                idMYS           0.583101   0.354369  1.6455 0.1001813          
                idNLD           1.804732   0.285888  6.3127 4.079e-10 ***      
                idNOR          -1.412986   0.604328 -2.3381 0.0195733 *        
                idNZL           0.348978   0.520294  0.6707 0.5025426          
                idPHL          -1.576137   0.322571 -4.8862 1.193e-06 ***      
                idPOL           0.372587   0.210743  1.7680 0.0773641 .        
                idPRT           0.916705   0.339309  2.7017 0.0070130 **       
                idROU           0.828600   0.233664  3.5461 0.0004087 ***      
                idRUS          -1.055391   0.458461 -2.3020 0.0215337 *        
                idSAU          -1.255445   0.276568 -4.5394 6.312e-06 ***      
                idSGP           0.049765   0.534198  0.0932 0.9257966          
                idSVK           1.184021   0.453957  2.6082 0.0092340 **       
                idSVN           0.642768   0.648019  0.9919 0.3214821          
                idSWE          -0.113442   0.486471 -0.2332 0.8156573          
                idTHA          -1.562095   0.295974 -5.2778 1.596e-07 ***      
                idTUR           0.612755   0.252450  2.4272 0.0153861 *        
                idTWN           1.181208   0.269716  4.3795 1.312e-05 ***      
                idUKR          -0.239939   0.256109 -0.9369 0.3490505          
                idUSA           3.267191   0.484072  6.7494 2.483e-11 ***      
                idVNM          -7.049274   0.765451 -9.2093 < 2.2e-16 ***      
                idZAF           0.212082   0.253727  0.8359 0.4034257          
                time1996      -11.151527   3.733377 -2.9870 0.0028846 **       
                time1997      -11.179103   3.734335 -2.9936 0.0028233 **       
                time1998      -10.988095   3.735621 -2.9414 0.0033405 **       
                time1999      -10.962934   3.737552 -2.9332 0.0034298 **       
                time2000      -10.952768   3.740030 -2.9285 0.0034813 **       
                time2001      -10.825306   3.740920 -2.8938 0.0038874 **       
                time2002      -10.899106   3.740687 -2.9137 0.0036499 **       
                time2003      -10.785342   3.742418 -2.8819 0.0040353 **       
                time2004      -10.807343   3.744496 -2.8862 0.0039813 **       
                time2005      -10.645111   3.746421 -2.8414 0.0045807 **       
                time2006      -10.457094   3.747824 -2.7902 0.0053658 **       
                time2007      -10.332225   3.750072 -2.7552 0.0059696 **       
                time2008      -10.270056   3.751424 -2.7376 0.0062955 **       
                time2009      -10.088799   3.750830 -2.6898 0.0072669 **       
                time2010      -10.109773   3.752576 -2.6941 0.0071737 **       
                time2011      -10.092630   3.754081 -2.6884 0.0072953 **       
                time2012      -10.209939   3.755536 -2.7186 0.0066660 **       
                time2013      -10.327713   3.757186 -2.7488 0.0060869 **       
                time2014      -10.362762   3.759760 -2.7562 0.0059511 **       
                time2015      -10.377856   3.761781 -2.7588 0.0059056 **       
                time2016      -10.445117   3.763186 -2.7756 0.0056104 **       
                time2017      -10.391246   3.764846 -2.7601 0.0058821 **       
                time2018      -10.484139   3.766674 -2.7834 0.0054784 **       
                time2019      -10.592316   3.768363 -2.8109 0.0050353 **       
                iis1            1.207469   0.329170  3.6682 0.0002568 ***      
                iis4            0.810343   0.285588  2.8375 0.0046374 **       
                iis5           -1.006433   0.285838 -3.5210 0.0004489 ***      
                iis20          -1.115238   0.281542 -3.9612 7.975e-05 ***      
                iis98           1.027419   0.294453  3.4893 0.0005050 ***      
                iis111         -0.619763   0.277241 -2.2355 0.0256019 *        
                iis115         -0.706166   0.277420 -2.5455 0.0110587 *        
                iis197          0.700515   0.275148  2.5460 0.0110436 *        
                iis199          1.009049   0.275099  3.6679 0.0002571 ***      
                iis217         -0.610515   0.288038 -2.1196 0.0342829 *        
                iis247         -0.830792   0.274707 -3.0243 0.0025545 **       
                iis410          0.662673   0.276220  2.3991 0.0166144 *        
                iis415         -1.068942   0.275968 -3.8734 0.0001141 ***      
                iis416          0.705978   0.277457  2.5445 0.0110906 *        
                iis421         -0.717363   0.275647 -2.6025 0.0093895 **       
                iis448         -1.031448   0.274411 -3.7588 0.0001804 ***      
                iis460         -0.600190   0.276125 -2.1736 0.0299626 *        
                iis462          1.012634   0.277121  3.6541 0.0002712 ***      
                iis465          0.888499   0.275594  3.2239 0.0013044 **       
                iis468          0.697693   0.275045  2.5367 0.0113395 *        
                iis510         -0.896797   0.275352 -3.2569 0.0011633 **       
                iis511         -1.723999   0.275424 -6.2594 5.675e-10 ***      
                iis530          0.682037   0.310328  2.1978 0.0281873 *        
                iis651          0.682028   0.300378  2.2706 0.0233805 *        
                iis666         -0.880363   0.277403 -3.1736 0.0015506 **       
                iis669         -0.967636   0.278019 -3.4805 0.0005217 ***      
                iis670         -0.805231   0.278842 -2.8878 0.0039615 **       
                iis674          1.150861   0.310525  3.7062 0.0002217 ***      
                iis677         -0.626387   0.310242 -2.0190 0.0437448 *        
                iis700         -0.923773   0.277987 -3.3231 0.0009219 ***      
                iis701          0.548080   0.277941  1.9719 0.0488870 *        
                iis702         -1.210435   0.277331 -4.3646 1.403e-05 ***      
                iis791         -0.885514   0.274937 -3.2208 0.0013187 **       
                iis800          0.841106   0.278958  3.0152 0.0026317 **       
                iis801         -0.626951   0.278982 -2.2473 0.0248345 *        
                iis802          1.186147   0.278672  4.2564 2.268e-05 ***      
                iis816         -0.951822   0.279209 -3.4090 0.0006775 ***      
                iis883         -1.190031   0.294770 -4.0371 5.814e-05 ***      
                iis931          1.085597   0.294518  3.6860 0.0002398 ***      
                iis932          1.016201   0.296477  3.4276 0.0006332 ***      
                iis933          0.926484   0.297357  3.1157 0.0018860 **       
                iis934          1.154294   0.297701  3.8774 0.0001123 ***      
                iis935          0.968949   0.298577  3.2452 0.0012116 **       
                iis936          1.006614   0.298592  3.3712 0.0007764 ***      
                iis938         -0.971156   0.294474 -3.2979 0.0010075 **       
                iis942         -0.629352   0.295377 -2.1307 0.0333539 *        
                iis980          0.926379   0.283173  3.2714 0.0011058 **       
                iis985          0.864378   0.290437  2.9761 0.0029878 **       
                iis993         -1.155991   0.279146 -4.1412 3.740e-05 ***      
                iis1000        -1.000887   0.277948 -3.6010 0.0003322 ***      
                iis1037         0.680809   0.275241  2.4735 0.0135410 *        
                iis1045        -0.679273   0.275022 -2.4699 0.0136780 *        
                iis1060        -0.643093   0.294215 -2.1858 0.0290569 *        
                iis1063         0.997367   0.282438  3.5313 0.0004320 ***      
                iis1081        -0.719213   0.300855 -2.3906 0.0170026 *        
                iis1128         0.694419   0.278600  2.4925 0.0128408 *        
                iis1153         0.898611   0.285602  3.1464 0.0017008 **       
                iis1166        -0.683701   0.300305 -2.2767 0.0230110 *        
                iis1176        -1.481153   0.285499 -5.1880 2.563e-07 ***      
                iis1192        -0.574382   0.279428 -2.0556 0.0400782 *        
                iis1198        -0.960900   0.279672 -3.4358 0.0006145 ***      
                iis1200        -0.550081   0.279894 -1.9653 0.0496475 *        
                fesisARG.1999   0.630223   0.213614  2.9503 0.0032471 **       
                fesisARG.2009  -0.361322   0.128138 -2.8198 0.0048983 **       
                fesisBGR.2002   0.670326   0.294731  2.2744 0.0231506 *        
                fesisBGR.2003  -0.988159   0.280058 -3.5284 0.0004366 ***      
                fesisBRA.1997   0.637932   0.287490  2.2190 0.0267072 *        
                fesisBRA.2004   0.466862   0.123722  3.7735 0.0001702 ***      
                fesisCHN.2004   0.356526   0.143947  2.4768 0.0134178 *        
                fesisCHN.2016   0.560233   0.162105  3.4560 0.0005708 ***      
                fesisDNK.1998   0.684072   0.210447  3.2506 0.0011893 **       
                fesisDNK.2007   0.485516   0.118963  4.0812 4.828e-05 ***      
                fesisESP.2004   0.645142   0.119548  5.3965 8.444e-08 ***      
                fesisIRN.2000  -0.641546   0.180923 -3.5460 0.0004089 ***      
                fesisIRN.2009   0.386106   0.131333  2.9399 0.0033570 **       
                fesisIRN.2017   0.706166   0.183018  3.8585 0.0001212 ***      
                fesisKOR.2004   0.596516   0.121172  4.9229 9.936e-07 ***      
                fesisLUX.2001  -1.144112   0.300408 -3.8085 0.0001481 ***      
                fesisLUX.2002   0.793365   0.279199  2.8416 0.0045784 **       
                fesisMEX.2001   0.594372   0.169229  3.5122 0.0004638 ***      
                fesisMYS.1997  -1.244394   0.380114 -3.2737 0.0010969 **       
                fesisMYS.1998   0.826423   0.279458  2.9572 0.0031754 **       
                fesisPHL.2002  -0.281298   0.136355 -2.0630 0.0393655 *        
                fesisROU.2014  -0.472314   0.145421 -3.2479 0.0012004 **       
                fesisRUS.2007  -0.598402   0.116617 -5.1313 3.441e-07 ***      
                fesisSAU.2009   0.650901   0.149161  4.3637 1.408e-05 ***      
                fesisSGP.2003   0.486522   0.144178  3.3745 0.0007674 ***      
                fesisSVK.2008  -1.075661   0.207373 -5.1871 2.575e-07 ***      
                fesisSVK.2010   0.687494   0.210166  3.2712 0.0011067 **       
                fesisSVN.2003   0.813696   0.290170  2.8042 0.0051395 **       
                fesisSVN.2004  -0.887168   0.278176 -3.1892 0.0014699 **       
                fesisSWE.2002  -0.618063   0.129060 -4.7890 1.924e-06 ***      
                fesisTUR.2002   0.394839   0.146742  2.6907 0.0072464 **       
                fesisTUR.2014   0.458782   0.138445  3.3138 0.0009526 ***      
                fesisTWN.2001   1.020513   0.153420  6.6517 4.709e-11 ***      
                fesisUKR.2000   0.796869   0.191023  4.1716 3.281e-05 ***      
                fesisUKR.2004  -0.780840   0.154923 -5.0402 5.498e-07 ***      
                fesisVNM.2005   0.752145   0.285755  2.6321 0.0086128 **       
                fesisVNM.2006  -1.372732   0.300153 -4.5734 5.385e-06 ***      
                fesisVNM.2011   0.779495   0.166617  4.6784 3.280e-06 ***      
                fesisZAF.2005  -0.437960   0.119775 -3.6565 0.0002687 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                    Chi-sq df   p-value          
                Ljung-Box AR(1)    0.32255  1    0.5701          
                Ljung-Box ARCH(1) 31.70927  1 1.791e-08 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.26560      
                R-squared          0.98474      
                Log-lik.(n=1200) -23.31103      

SOLAR

oecd

Count

0.01

                Formula: count~ gdp + pop      
                oecd (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Tue Jan  9 19:27:51 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 936       
                Sample: 1 to 936       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            9.2833e-01  8.2533e-03 112.4798 < 2.2e-16 ***      
                gdp            1.9274e-14  1.3890e-14   1.3876 0.1656364          
                pop            2.7348e-07  6.8168e-08   4.0119 6.567e-05 ***      
                idAUT          2.1331e+00  3.8969e+00   0.5474 0.5842590          
                idBEL          6.8078e-01  3.8637e+00   0.1762 0.8601822          
                idCAN         -3.6184e+00  3.8844e+00  -0.9315 0.3518485          
                idCHE          3.6287e+00  3.9113e+00   0.9278 0.3538066          
                idCHL         -4.9661e+00  4.2637e+00  -1.1647 0.2444610          
                idCHN         -3.3434e+02  8.7155e+01  -3.8362 0.0001344 ***      
                idCOL         -2.1453e+01  9.2703e+00  -2.3142 0.0209028 *        
                idCRI          4.3802e-01  3.9842e+00   0.1099 0.9124852          
                idCZE         -5.6455e-01  3.8712e+00  -0.1458 0.8840883          
                idDEU          8.0861e+00  6.3792e+00   1.2676 0.2053060          
                idDNK          1.2908e+00  3.9430e+00   0.3274 0.7434659          
                idESP         -6.1539e+00  4.1056e+00  -1.4989 0.1342846          
                idEST          1.7731e+00  4.0252e+00   0.4405 0.6596912          
                idFIN          1.7695e+00  3.9458e+00   0.4485 0.6539422          
                idFRA         -5.6668e+00  4.7419e+00  -1.1950 0.2324136          
                idGRC         -5.3385e-01  3.8637e+00  -0.1382 0.8901368          
                idHUN         -9.8778e-01  3.9044e+00  -0.2530 0.8003398          
                idIRL          1.3280e+00  3.9645e+00   0.3350 0.7377236          
                idISL          2.0006e+00  4.0496e+00   0.4940 0.6214230          
                idISR          4.1355e+00  3.9159e+00   1.0561 0.2912407          
                idITA         -8.9268e+00  4.5577e+00  -1.9586 0.0504950 .        
                idJPN          3.3995e+00  1.0567e+01   0.3217 0.7477504          
                idKOR         -1.8580e+01  1.4127e+01  -1.3153 0.1887841          
                idLTU          1.3162e+00  3.9863e+00   0.3302 0.7413386          
                idLUX          2.0468e+00  4.0444e+00   0.5061 0.6129264          
                idLVA          1.5252e+00  4.0075e+00   0.3806 0.7035986          
                idMEX         -2.7757e+01  7.1196e+00  -3.8987 0.0001045 ***      
                idNLD          1.8502e+00  3.8130e+00   0.4852 0.6276319          
                idNOR          1.4759e+00  3.9561e+00   0.3731 0.7091833          
                idNZL          1.2355e+00  3.9655e+00   0.3116 0.7554571          
                idPOL         -7.7016e+00  3.9928e+00  -1.9289 0.0540858 .        
                idPRT         -4.0661e-01  3.8697e+00  -0.1051 0.9163416          
                idSVK          7.2786e-01  3.9447e+00   0.1845 0.8536519          
                idSVN          1.7801e+00  4.0106e+00   0.4438 0.6572715          
                idSWE          1.1235e+00  3.8833e+00   0.2893 0.7724176          
                idTUR         -1.6841e+01  5.1534e+00  -3.2679 0.0011279 **       
                idTWN          6.7828e+00  3.8322e+00   1.7699 0.0771033 .        
                idUSA         -3.8129e+01  1.8483e+01  -2.0630 0.0394260 *        
                time1996      -4.5020e+00  3.5881e+00  -1.2547 0.2099419          
                time1997      -4.7235e+00  3.5982e+00  -1.3127 0.1896375          
                time1998      -3.3208e+00  3.6110e+00  -0.9196 0.3580320          
                time1999      -2.1659e+00  3.6202e+00  -0.5983 0.5498229          
                time2000      -2.7749e+00  3.6278e+00  -0.7649 0.4445596          
                time2001      -4.1414e+00  3.6372e+00  -1.1386 0.2551894          
                time2002      -5.5237e+00  3.6463e+00  -1.5149 0.1301799          
                time2003      -1.9613e+00  3.6561e+00  -0.5365 0.5917892          
                time2004      -1.3988e+00  3.6646e+00  -0.3817 0.7027712          
                time2005       2.8826e+00  3.6736e+00   0.7847 0.4328589          
                time2006       1.9722e+00  3.6886e+00   0.5347 0.5930125          
                time2007       4.2409e+00  3.7236e+00   1.1389 0.2550691          
                time2008       5.5291e+00  3.7591e+00   1.4709 0.1417105          
                time2009       1.0134e+01  3.7690e+00   2.6888 0.0073150 **       
                time2010       2.2959e-01  3.7620e+00   0.0610 0.9513496          
                time2011      -1.1026e+00  3.7733e+00  -0.2922 0.7702021          
                time2012      -6.2169e+00  3.7900e+00  -1.6403 0.1013116          
                time2013      -8.3409e+00  3.7801e+00  -2.2065 0.0276187 *        
                time2014      -6.0328e+00  3.8034e+00  -1.5861 0.1130865          
                time2015      -5.8912e+00  3.7367e+00  -1.5766 0.1152752          
                time2016      -4.3174e+00  3.7616e+00  -1.1478 0.2513982          
                time2017      -4.4922e-01  3.7794e+00  -0.1189 0.9054132          
                time2018      -6.3888e+00  3.7767e+00  -1.6916 0.0910924 .        
                time2019      -6.4711e+00  3.7752e+00  -1.7141 0.0868818 .        
                iis165         6.1990e+01  1.8888e+01   3.2819 0.0010741 **       
                iis166         1.3519e+02  1.9013e+01   7.1104 2.497e-12 ***      
                iis167         6.3115e+01  1.9326e+01   3.2658 0.0011362 **       
                iis168        -3.2315e+02  1.9625e+01 -16.4662 < 2.2e-16 ***      
                iis252         8.2673e+01  1.6675e+01   4.9580 8.639e-07 ***      
                iis253         1.6339e+02  1.6515e+01   9.8934 < 2.2e-16 ***      
                iis254         9.2178e+01  1.6360e+01   5.6343 2.407e-08 ***      
                iis257        -1.2836e+02  1.4897e+01  -8.6161 < 2.2e-16 ***      
                iis258        -1.3444e+02  1.4562e+01  -9.2322 < 2.2e-16 ***      
                iis541         2.5316e+02  1.3863e+01  18.2608 < 2.2e-16 ***      
                iis542         4.2753e+02  1.4115e+01  30.2889 < 2.2e-16 ***      
                iis543         4.5277e+02  1.5145e+01  29.8953 < 2.2e-16 ***      
                iis545        -1.9801e+02  1.5916e+01 -12.4414 < 2.2e-16 ***      
                iis547        -6.9617e+01  1.5024e+01  -4.6338 4.167e-06 ***      
                iis550        -1.1116e+02  1.4930e+01  -7.4450 2.429e-13 ***      
                iis551        -4.4606e+01  1.5054e+01  -2.9632 0.0031319 **       
                iis565         8.4064e+01  1.5551e+01   5.4056 8.448e-08 ***      
                iis566         7.6744e+01  1.5434e+01   4.9725 8.034e-07 ***      
                iis571        -1.0025e+02  1.5415e+01  -6.5033 1.356e-10 ***      
                iis573         1.7561e+02  1.8931e+01   9.2761 < 2.2e-16 ***      
                iis574        -2.0481e+02  1.8935e+01 -10.8165 < 2.2e-16 ***      
                iis576        -1.7853e+02  1.8883e+01  -9.4544 < 2.2e-16 ***      
                iis923         1.5765e+02  2.0461e+01   7.7048 3.737e-14 ***      
                iis924         8.9916e+01  1.9694e+01   4.5657 5.731e-06 ***      
                iis925         2.8798e+02  1.9349e+01  14.8839 < 2.2e-16 ***      
                iis926         1.1305e+02  1.8914e+01   5.9770 3.372e-09 ***      
                iis929        -9.7417e+01  1.6344e+01  -5.9605 3.715e-09 ***      
                iis931        -1.1403e+02  1.6420e+01  -6.9448 7.653e-12 ***      
                iis933        -1.6533e+02  1.6408e+01 -10.0767 < 2.2e-16 ***      
                iis934        -2.1792e+02  1.6348e+01 -13.3299 < 2.2e-16 ***      
                iis936        -1.9376e+02  1.6357e+01 -11.8451 < 2.2e-16 ***      
                fesisCHN.2015  8.7151e+01  1.4634e+01   5.9555 3.827e-09 ***      
                fesisDEU.2007  3.5770e+01  1.1297e+01   3.1664 0.0015997 **       
                fesisDEU.2012 -7.5536e+01  1.1406e+01  -6.6227 6.332e-11 ***      
                fesisJPN.2012 -6.5385e+01  8.4463e+00  -7.7412 2.863e-14 ***      
                fesisKOR.2007  1.1154e+02  1.1056e+01  10.0887 < 2.2e-16 ***      
                fesisKOR.2012 -1.0790e+02  1.1333e+01  -9.5214 < 2.2e-16 ***      
                fesisKOR.2016  6.4633e+01  1.5737e+01   4.1070 4.405e-05 ***      
                fesisUSA.2006  9.1500e+01  1.6911e+01   5.4106 8.222e-08 ***      
                fesisUSA.2011 -1.3957e+02  1.6379e+01  -8.5214 < 2.2e-16 ***      
                fesisUSA.2015  9.4166e+01  1.4023e+01   6.7153 3.479e-11 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    7.1693  1  0.007416 **       
                Ljung-Box ARCH(1) 42.5775  1 6.793e-11 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    13.15929      
                R-squared            0.99588      
                Log-lik.(n=936)  -3687.31809      
0.05

                Formula: count~ gdp + pop      
                oecd (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Tue Jan  9 19:30:33 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 936       
                Sample: 1 to 936       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            8.9196e-01  7.5190e-03 118.6276 < 2.2e-16 ***      
                gdp            1.8277e-14  1.2937e-14   1.4128 0.1580892          
                pop            3.2125e-07  6.4865e-08   4.9526 8.880e-07 ***      
                idAUT          2.2114e+00  3.6127e+00   0.6121 0.5406266          
                idBEL          4.9593e-01  3.5801e+00   0.1385 0.8898620          
                idCAN         -4.2028e+00  3.6040e+00  -1.1661 0.2438981          
                idCHE          4.3174e+00  3.6304e+00   1.1893 0.2346807          
                idCHL         -5.8855e+00  3.9485e+00  -1.4906 0.1364557          
                idCHN         -3.9334e+02  8.2874e+01  -4.7463 2.442e-06 ***      
                idCOL         -2.3207e+01  8.6145e+00  -2.6939 0.0072049 **       
                idCRI         -4.8954e-02  3.6893e+00  -0.0133 0.9894162          
                idCZE         -1.2869e+00  3.5838e+00  -0.3591 0.7196311          
                idDEU          8.1286e+00  5.9228e+00   1.3724 0.1703056          
                idDNK          1.0292e+00  3.6532e+00   0.2817 0.7782338          
                idESP         -7.2385e+00  3.8195e+00  -1.8952 0.0584212 .        
                idEST          1.4211e+00  3.7288e+00   0.3811 0.7032115          
                idFIN          1.4616e+00  3.6555e+00   0.3998 0.6893872          
                idFRA         -5.8821e+00  4.4066e+00  -1.3348 0.1823041          
                idGRC         -1.2075e+00  3.5773e+00  -0.3375 0.7357930          
                idHUN         -1.6582e+00  3.6145e+00  -0.4588 0.6465182          
                idIRL          9.6844e-01  3.6724e+00   0.2637 0.7920711          
                idISL          1.6904e+00  3.7519e+00   0.4505 0.6524361          
                idISR          4.6714e+00  3.6338e+00   1.2855 0.1989613          
                idITA         -1.0175e+01  4.2507e+00  -2.3937 0.0169034 *        
                idJPN          7.7780e+00  9.7382e+00   0.7987 0.4246883          
                idKOR         -1.8993e+01  1.3140e+01  -1.4455 0.1487090          
                idLTU          8.7989e-01  3.6919e+00   0.2383 0.8116837          
                idLUX          1.7565e+00  3.7473e+00   0.4687 0.6393805          
                idLVA          1.1224e+00  3.7119e+00   0.3024 0.7624416          
                idMEX         -3.3178e+01  6.7500e+00  -4.9152 1.070e-06 ***      
                idNLD          1.9670e+00  3.5339e+00   0.5566 0.5779593          
                idNOR          1.1655e+00  3.6650e+00   0.3180 0.7505475          
                idNZL          8.4218e-01  3.6731e+00   0.2293 0.8187028          
                idPOL         -9.6559e+00  3.7175e+00  -2.5974 0.0095606 **       
                idPRT         -1.0722e+00  3.5829e+00  -0.2992 0.7648282          
                idSVK          2.3543e-01  3.6529e+00   0.0645 0.9486275          
                idSVN          1.4158e+00  3.7151e+00   0.3811 0.7032343          
                idSWE          8.2264e-01  3.5975e+00   0.2287 0.8191837          
                idTUR         -2.0393e+01  4.8538e+00  -4.2014 2.942e-05 ***      
                idTWN          4.2752e+00  3.5852e+00   1.1924 0.2334286          
                idUSA         -5.6805e+01  1.7310e+01  -3.2817 0.0010750 **       
                time1996      -4.4447e+00  3.3305e+00  -1.3345 0.1823951          
                time1997      -4.6638e+00  3.3400e+00  -1.3963 0.1629898          
                time1998      -3.2634e+00  3.3521e+00  -0.9735 0.3305750          
                time1999      -2.0528e+00  3.3601e+00  -0.6109 0.5414186          
                time2000      -2.5611e+00  3.3662e+00  -0.7608 0.4469715          
                time2001      -3.8519e+00  3.3740e+00  -1.1416 0.2539382          
                time2002      -5.2079e+00  3.3823e+00  -1.5398 0.1239979          
                time2003      -1.6663e+00  3.3917e+00  -0.4913 0.6233433          
                time2004      -9.8809e-01  3.3983e+00  -0.2908 0.7713043          
                time2005       1.0159e+00  3.4128e+00   0.2977 0.7660297          
                time2006       2.3843e+00  3.4177e+00   0.6976 0.4856025          
                time2007       4.6294e+00  3.4543e+00   1.3402 0.1805565          
                time2008       6.0477e+00  3.4818e+00   1.7369 0.0827744 .        
                time2009       7.7192e+00  3.5058e+00   2.2019 0.0279497 *        
                time2010       1.9436e+00  3.4757e+00   0.5592 0.5761795          
                time2011      -3.4475e-01  3.4945e+00  -0.0987 0.9214348          
                time2012      -4.8109e+00  3.4993e+00  -1.3748 0.1695610          
                time2013      -6.9978e+00  3.5012e+00  -1.9987 0.0459694 *        
                time2014      -5.0517e+00  3.5172e+00  -1.4363 0.1512990          
                time2015      -5.6057e+00  3.4683e+00  -1.6163 0.1064188          
                time2016      -3.7763e+00  3.4841e+00  -1.0839 0.2787418          
                time2017      -1.2911e-02  3.5018e+00  -0.0037 0.9970591          
                time2018      -5.4451e+00  3.5050e+00  -1.5535 0.1206786          
                time2019      -6.4788e+00  3.5033e+00  -1.8493 0.0647669 .        
                iis164         8.9561e+01  1.3548e+01   6.6107 6.861e-11 ***      
                iis165         1.5481e+02  1.3714e+01  11.2881 < 2.2e-16 ***      
                iis166         2.3372e+02  1.3968e+01  16.7318 < 2.2e-16 ***      
                iis167         1.6928e+02  1.4357e+01  11.7911 < 2.2e-16 ***      
                iis168        -2.1118e+02  1.4720e+01 -14.3463 < 2.2e-16 ***      
                iis252         6.6639e+01  1.5465e+01   4.3091 1.837e-05 ***      
                iis253         1.5208e+02  1.5308e+01   9.9348 < 2.2e-16 ***      
                iis254         9.1305e+01  1.5167e+01   6.0199 2.623e-09 ***      
                iis257        -1.1177e+02  1.3797e+01  -8.1015 1.946e-15 ***      
                iis258        -1.2505e+02  1.3471e+01  -9.2829 < 2.2e-16 ***      
                iis541         2.0157e+02  1.9262e+01  10.4649 < 2.2e-16 ***      
                iis542         3.8878e+02  1.8517e+01  20.9960 < 2.2e-16 ***      
                iis543         4.2562e+02  1.7731e+01  24.0037 < 2.2e-16 ***      
                iis545        -1.7377e+02  1.4727e+01 -11.7994 < 2.2e-16 ***      
                iis547        -6.1929e+01  1.3924e+01  -4.4477 9.865e-06 ***      
                iis550        -1.1354e+02  1.3834e+01  -8.2070 8.678e-16 ***      
                iis551        -5.4183e+01  1.3947e+01  -3.8849 0.0001106 ***      
                iis565         8.7152e+01  1.5183e+01   5.7401 1.328e-08 ***      
                iis566         9.0249e+01  1.5161e+01   5.9526 3.899e-09 ***      
                iis568         3.5583e+01  1.5390e+01   2.3120 0.0210209 *        
                iis571        -9.9276e+01  1.4286e+01  -6.9492 7.454e-12 ***      
                iis573         1.7372e+02  1.7546e+01   9.9009 < 2.2e-16 ***      
                iis574        -1.9832e+02  1.7547e+01 -11.3021 < 2.2e-16 ***      
                iis576        -1.7586e+02  1.7502e+01 -10.0485 < 2.2e-16 ***      
                iis902         1.1303e+02  1.2647e+01   8.9373 < 2.2e-16 ***      
                iis922         9.4000e+01  1.2936e+01   7.2664 8.553e-13 ***      
                iis923         2.6536e+02  1.2918e+01  20.5424 < 2.2e-16 ***      
                iis924         2.0737e+02  1.3075e+01  15.8594 < 2.2e-16 ***      
                iis925         4.1196e+02  1.3339e+01  30.8843 < 2.2e-16 ***      
                iis926         2.5342e+02  1.4248e+01  17.7868 < 2.2e-16 ***      
                iis927         1.4256e+02  1.4750e+01   9.6654 < 2.2e-16 ***      
                iis929        -9.7363e+01  1.4452e+01  -6.7370 3.030e-11 ***      
                iis931        -1.7572e+02  1.7844e+01  -9.8474 < 2.2e-16 ***      
                iis932         4.1806e+01  1.7608e+01   2.3743 0.0178114 *        
                iis933        -1.3786e+02  1.7651e+01  -7.8101 1.732e-14 ***      
                iis934        -1.9534e+02  1.7543e+01 -11.1351 < 2.2e-16 ***      
                iis936        -1.7588e+02  1.7492e+01 -10.0552 < 2.2e-16 ***      
                fesisDEU.2007  5.7522e+01  1.0470e+01   5.4942 5.229e-08 ***      
                fesisDEU.2012 -9.1298e+01  1.0572e+01  -8.6357 < 2.2e-16 ***      
                fesisJPN.2008  5.8396e+01  1.5864e+01   3.6810 0.0002474 ***      
                fesisJPN.2012 -1.0335e+02  1.4806e+01  -6.9802 6.053e-12 ***      
                fesisKOR.2007  1.1528e+02  1.1059e+01  10.4235 < 2.2e-16 ***      
                fesisKOR.2012 -8.7358e+01  1.1910e+01  -7.3349 5.303e-13 ***      
                fesisKOR.2016  6.2580e+01  1.4587e+01   4.2902 1.996e-05 ***      
                fesisUSA.2014  5.2721e+01  1.3140e+01   4.0121 6.565e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    2.4054  1    0.1209          
                Ljung-Box ARCH(1) 18.3371  1 1.851e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    12.19473      
                R-squared            0.99648      
                Log-lik.(n=936)  -3614.06618      

Log Count

0.01

                Formula: log_count~ lgdp + lpop      
                oecd (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Tue Jan  9 19:35:03 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 936       
                Sample: 1 to 936       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error  t-stat   p-value          
                ar1             0.362825   0.027424 13.2302 < 2.2e-16 ***      
                lgdp            0.374949   0.163100  2.2989 0.0217556 *        
                lpop            0.570715   0.321570  1.7748 0.0762964 .        
                idAUT           0.745180   0.360516  2.0670 0.0390410 *        
                idBEL           0.390336   0.296745  1.3154 0.1887351          
                idCAN          -0.374299   0.186889 -2.0028 0.0455208 *        
                idCHE           0.906693   0.345011  2.6280 0.0087450 **       
                idCHL          -3.415286   0.766913 -4.4533 9.596e-06 ***      
                idCHN          -3.889998   1.301581 -2.9887 0.0028834 **       
                idCOL          -4.280479   0.946099 -4.5243 6.928e-06 ***      
                idCRI          -1.900633   0.767766 -2.4755 0.0134993 *        
                idCZE          -1.569161   0.335876 -4.6719 3.474e-06 ***      
                idDEU           0.231968   0.435686  0.5324 0.5945750          
                idDNK          -1.058895   0.490417 -2.1592 0.0311187 *        
                idESP          -0.478377   0.286185 -1.6716 0.0949816 .        
                idEST           1.616934   0.998014  1.6202 0.1055740          
                idFIN           0.488010   0.495085  0.9857 0.3245595          
                idFRA          -0.360810   0.363639 -0.9922 0.3213760          
                idGRC          -0.234094   0.369332 -0.6338 0.5263631          
                idHUN          -2.192172   0.615539 -3.5614 0.0003896 ***      
                idIRL           0.312614   0.550721  0.5676 0.5704276          
                idISL           0.681201   1.390059  0.4901 0.6242248          
                idISR           0.563951   0.354515  1.5908 0.1120372          
                idITA          -0.531222   0.343827 -1.5450 0.1227151          
                idJPN          -1.451011   0.986499 -1.4709 0.1417002          
                idKOR          -3.098194   1.050596 -2.9490 0.0032764 **       
                idLTU           0.537211   0.772688  0.6952 0.4870905          
                idLUX           1.499425   1.199831  1.2497 0.2117577          
                idLVA           1.210313   0.881285  1.3734 0.1700091          
                idMEX          -3.497874   0.583081 -5.9989 2.947e-09 ***      
                idNLD           0.417193   0.185652  2.2472 0.0248870 *        
                idNOR          -0.511510   0.526187 -0.9721 0.3312765          
                idNZL           0.028954   0.546015  0.0530 0.9577217          
                idPOL          -1.624235   0.237424 -6.8411 1.512e-11 ***      
                idPRT          -0.190053   0.384513 -0.4943 0.6212448          
                idSVK           0.275013   0.604214  0.4552 0.6491127          
                idSVN           0.855833   0.848946  1.0081 0.3136902          
                idSWE          -0.495812   0.353053 -1.4044 0.1605823          
                idTUR          -1.951027   0.433571 -4.4999 7.754e-06 ***      
                idTWN          -0.144275   0.204982 -0.7038 0.4817243          
                idUSA          -0.817461   0.846869 -0.9653 0.3346843          
                time1996      -18.390933   6.093130 -3.0183 0.0026185 **       
                time1997      -18.416153   6.098141 -3.0200 0.0026044 **       
                time1998      -18.407580   6.102480 -3.0164 0.0026348 **       
                time1999      -18.259736   6.106389 -2.9903 0.0028685 **       
                time2000      -18.344669   6.111418 -3.0017 0.0027640 **       
                time2001      -18.244951   6.115221 -2.9835 0.0029317 **       
                time2002      -18.338505   6.118754 -2.9971 0.0028057 **       
                time2003      -18.031968   6.123200 -2.9449 0.0033199 **       
                time2004      -18.233431   6.126427 -2.9762 0.0030020 **       
                time2005      -18.020648   6.130908 -2.9393 0.0033793 **       
                time2006      -17.785133   6.135517 -2.8987 0.0038443 **       
                time2007      -17.590346   6.140568 -2.8646 0.0042791 **       
                time2008      -17.456835   6.141410 -2.8425 0.0045847 **       
                time2009      -17.309051   6.138934 -2.8196 0.0049220 **       
                time2010      -17.378460   6.142055 -2.8294 0.0047741 **       
                time2011      -17.455480   6.145372 -2.8404 0.0046140 **       
                time2012      -17.451704   6.147616 -2.8388 0.0046377 **       
                time2013      -17.723474   6.150136 -2.8818 0.0040546 **       
                time2014      -17.622701   6.153999 -2.8636 0.0042924 **       
                time2015      -17.768733   6.157576 -2.8857 0.0040056 **       
                time2016      -17.747732   6.160688 -2.8808 0.0040674 **       
                time2017      -17.765652   6.164852 -2.8818 0.0040551 **       
                time2018      -17.815449   6.168146 -2.8883 0.0039726 **       
                time2019      -17.990573   6.172519 -2.9146 0.0036555 **       
                iis74          -1.520465   0.429555 -3.5396 0.0004227 ***      
                iis76          -1.451094   0.429746 -3.3766 0.0007674 ***      
                iis143         -1.235791   0.429977 -2.8741 0.0041540 **       
                iis236         -1.371478   0.429162 -3.1957 0.0014468 **       
                iis421         -1.907533   0.429599 -4.4403 1.018e-05 ***      
                iis428         -1.284485   0.430068 -2.9867 0.0029018 **       
                iis507         -1.786862   0.430326 -4.1523 3.626e-05 ***      
                iis603          1.953083   0.430458  4.5372 6.528e-06 ***      
                iis721          1.679288   0.429913  3.9061 0.0001013 ***      
                iis731          1.875257   0.430160  4.3594 1.465e-05 ***      
                iis780         -1.835408   0.429053 -4.2778 2.104e-05 ***      
                iis806         -1.522111   0.430167 -3.5384 0.0004246 ***      
                iis807          1.122982   0.432903  2.5941 0.0096494 **       
                iis816         -1.177225   0.431403 -2.7288 0.0064885 **       
                iis832         -1.483506   0.429405 -3.4548 0.0005782 ***      
                iis840          1.169401   0.430246  2.7180 0.0067031 **       
                iis889         -1.300094   0.449892 -2.8898 0.0039540 **       
                iis892         -1.466787   0.449165 -3.2656 0.0011365 **       
                fesisCHN.2004   1.016837   0.230515  4.4111 1.162e-05 ***      
                fesisCHN.2015   0.838162   0.243266  3.4454 0.0005983 ***      
                fesisCOL.2005  -0.752065   0.182615 -4.1183 4.193e-05 ***      
                fesisCRI.2008  -0.869560   0.180311 -4.8226 1.682e-06 ***      
                fesisDNK.2001   0.825877   0.213731  3.8641 0.0001201 ***      
                fesisEST.2005  -0.713984   0.186578 -3.8267 0.0001395 ***      
                fesisISL.2006  -0.924420   0.179506 -5.1498 3.249e-07 ***      
                fesisKOR.2003   0.992648   0.248654  3.9921 7.121e-05 ***      
                fesisKOR.2008   0.638125   0.229022  2.7863 0.0054511 **       
                fesisLVA.2003  -0.695909   0.208852 -3.3321 0.0008996 ***      
                fesisTWN.2005   0.929845   0.201166  4.6223 4.391e-06 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df  p-value         
                Ljung-Box AR(1)   10.7762  1 0.001028 **      
                Ljung-Box ARCH(1)  8.7584  1 0.003082 **      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.41433      
                R-squared           0.95874      
                Log-lik.(n=936)  -456.41981      
0.05

                Formula: log_count~ lgdp + lpop      
                oecd (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Tue Jan  9 19:37:42 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 936       
                Sample: 1 to 936       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1             0.35993   0.02503 14.3799 < 2.2e-16 ***      
                lgdp            0.37097   0.15939  2.3275 0.0201906 *        
                lpop            0.92369   0.35197  2.6243 0.0088482 **       
                idAUT           1.11819   0.34468  3.2442 0.0012270 **       
                idBEL           0.62338   0.27621  2.2569 0.0242842 *        
                idCAN          -0.53461   0.18343 -2.9146 0.0036617 **       
                idCHE           1.26160   0.34693  3.6364 0.0002942 ***      
                idCHL          -3.33479   0.75840 -4.3971 1.246e-05 ***      
                idCHN          -5.36078   1.36683 -3.9221 9.536e-05 ***      
                idCOL          -4.51330   0.89215 -5.0589 5.237e-07 ***      
                idCRI          -1.33048   0.82958 -1.6038 0.1091558          
                idCZE          -1.36721   0.35691 -3.8307 0.0001378 ***      
                idDEU          -0.23665   0.45608 -0.5189 0.6039853          
                idDNK          -0.62877   0.51747 -1.2151 0.2246919          
                idESP          -1.09376   0.32001 -3.4178 0.0006632 ***      
                idEST           2.52149   0.95725  2.6341 0.0085996 **       
                idFIN           1.06253   0.48224  2.2033 0.0278562 *        
                idFRA          -0.74635   0.38370 -1.9452 0.0521080 .        
                idGRC          -0.64101   0.34823 -1.8408 0.0660292 .        
                idHUN          -1.97448   0.63789 -3.0953 0.0020346 **       
                idIRL           0.81777   0.54244  1.5076 0.1320582          
                idISL           2.17226   1.51780  1.4312 0.1527661          
                idISR           0.94040   0.36936  2.5460 0.0110824 *        
                idITA          -0.88487   0.36484 -2.4253 0.0155152 *        
                idJPN          -2.05153   0.91126 -2.2513 0.0246372 *        
                idKOR          -3.39797   0.98668 -3.4439 0.0006034 ***      
                idLTU           1.25737   0.71605  1.7560 0.0794783 .        
                idLUX           3.16761   1.25110  2.5319 0.0115373 *        
                idLVA           1.90930   0.82792  2.3062 0.0213580 *        
                idMEX          -4.02040   0.57238 -7.0240 4.625e-12 ***      
                idNLD           0.51760   0.16781  3.0845 0.0021092 **       
                idNOR           0.10472   0.57419  0.1824 0.8553315          
                idNZL           0.72857   0.55905  1.3032 0.1928747          
                idPOL          -2.09244   0.25801 -8.1100 1.906e-15 ***      
                idPRT          -0.23896   0.34583 -0.6910 0.4897803          
                idSVK           0.81810   0.57007  1.4351 0.1516522          
                idSVN           1.80652   0.81752  2.2098 0.0274049 *        
                idSWE          -0.20426   0.37959 -0.5381 0.5906641          
                idTUR          -2.43411   0.46981 -5.1811 2.797e-07 ***      
                idTWN          -0.19560   0.18206 -1.0744 0.2829822          
                idUSA          -1.68795   0.86706 -1.9468 0.0519146 .        
                time1996      -24.14345   5.90292 -4.0901 4.750e-05 ***      
                time1997      -24.25224   5.90722 -4.1055 4.450e-05 ***      
                time1998      -24.13310   5.91069 -4.0830 4.895e-05 ***      
                time1999      -24.09045   5.91444 -4.0732 5.101e-05 ***      
                time2000      -24.11384   5.91837 -4.0744 5.075e-05 ***      
                time2001      -24.08551   5.92199 -4.0671 5.232e-05 ***      
                time2002      -24.11066   5.92457 -4.0696 5.178e-05 ***      
                time2003      -23.89848   5.92909 -4.0307 6.094e-05 ***      
                time2004      -24.07568   5.93226 -4.0584 5.427e-05 ***      
                time2005      -23.87605   5.93719 -4.0214 6.334e-05 ***      
                time2006      -23.63865   5.94036 -3.9793 7.541e-05 ***      
                time2007      -23.48595   5.94327 -3.9517 8.449e-05 ***      
                time2008      -23.30260   5.94327 -3.9208 9.583e-05 ***      
                time2009      -23.08622   5.94362 -3.8842 0.0001112 ***      
                time2010      -23.18208   5.94537 -3.8992 0.0001046 ***      
                time2011      -23.30666   5.94897 -3.9178 9.704e-05 ***      
                time2012      -23.27684   5.95090 -3.9115 9.955e-05 ***      
                time2013      -23.59746   5.95319 -3.9638 8.038e-05 ***      
                time2014      -23.47083   5.95711 -3.9400 8.864e-05 ***      
                time2015      -23.64374   5.96094 -3.9664 7.952e-05 ***      
                time2016      -23.62948   5.96394 -3.9621 8.097e-05 ***      
                time2017      -23.67104   5.96680 -3.9671 7.930e-05 ***      
                time2018      -23.68759   5.96981 -3.9679 7.905e-05 ***      
                time2019      -23.80108   5.97365 -3.9843 7.387e-05 ***      
                iis27          -1.20517   0.36145 -3.3342 0.0008949 ***      
                iis74          -1.48320   0.36157 -4.1021 4.515e-05 ***      
                iis76          -1.42356   0.36151 -3.9378 8.942e-05 ***      
                iis138          0.91386   0.36289  2.5183 0.0119875 *        
                iis185         -0.75972   0.36740 -2.0678 0.0389809 *        
                iis217          1.03826   0.36227  2.8660 0.0042664 **       
                iis236         -1.28599   0.36142 -3.5581 0.0003956 ***      
                iis271          0.85222   0.36390  2.3419 0.0194327 *        
                iis276          0.86105   0.36352  2.3686 0.0180920 *        
                iis295         -0.88476   0.38150 -2.3192 0.0206387 *        
                iis333          1.39892   0.36554  3.8270 0.0001399 ***      
                iis338         -1.13346   0.36197 -3.1313 0.0018038 **       
                iis341         -1.23126   0.36118 -3.4090 0.0006847 ***      
                iis386          1.75467   0.38704  4.5335 6.691e-06 ***      
                iis390          1.51601   0.38688  3.9185 9.674e-05 ***      
                iis392          1.01932   0.36708  2.7768 0.0056179 **       
                iis407          0.82492   0.36900  2.2356 0.0256554 *        
                iis421         -1.84066   0.36158 -5.0906 4.456e-07 ***      
                iis428         -1.18149   0.36265 -3.2579 0.0011698 **       
                iis430          1.07545   0.36323  2.9607 0.0031600 **       
                iis444          1.08740   0.36090  3.0130 0.0026685 **       
                iis507         -1.89335   0.36233 -5.2254 2.220e-07 ***      
                iis603          1.53241   0.36902  4.1527 3.640e-05 ***      
                iis614         -0.97194   0.37019 -2.6255 0.0088181 **       
                iis671         -1.23422   0.36180 -3.4113 0.0006790 ***      
                iis673         -1.25513   0.36260 -3.4614 0.0005659 ***      
                iis674          0.92521   0.36358  2.5448 0.0111229 *        
                iis699         -1.06739   0.36202 -2.9484 0.0032874 **       
                iis703         -1.18207   0.36135 -3.2713 0.0011167 **       
                iis721          1.49335   0.37264  4.0075 6.713e-05 ***      
                iis731          1.75126   0.37371  4.6861 3.273e-06 ***      
                iis736          1.08232   0.36946  2.9294 0.0034928 **       
                iis739          1.21521   0.36905  3.2928 0.0010357 **       
                iis748          1.17706   0.36419  3.2320 0.0012800 **       
                iis762          1.41568   0.36489  3.8798 0.0001132 ***      
                iis780         -1.89489   0.36694 -5.1640 3.056e-07 ***      
                iis781          0.86674   0.36913  2.3481 0.0191143 *        
                iis806         -1.26423   0.38699 -3.2669 0.0011339 **       
                iis807          1.40431   0.38935  3.6068 0.0003293 ***      
                iis816         -1.11668   0.40800 -2.7370 0.0063388 **       
                iis832         -0.97946   0.38198 -2.5642 0.0105241 *        
                iis833          1.25305   0.38180  3.2820 0.0010758 **       
                iis840          1.62220   0.38162  4.2508 2.382e-05 ***      
                iis886          1.16701   0.36377  3.2081 0.0013897 **       
                iis889         -1.34929   0.37875 -3.5625 0.0003892 ***      
                iis892         -1.43910   0.37766 -3.8106 0.0001493 ***      
                iis913         -1.16811   0.36185 -3.2281 0.0012971 **       
                fesisCHL.2018  -0.88209   0.26302 -3.3537 0.0008350 ***      
                fesisCHN.2004   1.05276   0.20221  5.2062 2.455e-07 ***      
                fesisCHN.2015   0.85521   0.20966  4.0790 4.977e-05 ***      
                fesisCOL.2005  -0.73483   0.16136 -4.5540 6.085e-06 ***      
                fesisCOL.2018   0.91885   0.36813  2.4960 0.0127616 *        
                fesisCOL.2019  -1.40909   0.50029 -2.8165 0.0049746 **       
                fesisCRI.2008  -0.89886   0.15407 -5.8342 7.857e-09 ***      
                fesisDNK.2001   0.78984   0.18298  4.3166 1.784e-05 ***      
                fesisESP.2003   0.55297   0.16980  3.2567 0.0011749 **       
                fesisEST.2005  -0.74140   0.16420 -4.5154 7.275e-06 ***      
                fesisGRC.2003   0.63179   0.18656  3.3865 0.0007426 ***      
                fesisGRC.2019  -0.77121   0.36810 -2.0951 0.0364756 *        
                fesisISL.2006  -0.93244   0.15281 -6.1020 1.634e-09 ***      
                fesisKOR.2003   1.05973   0.20970  5.0534 5.385e-07 ***      
                fesisKOR.2008   0.61524   0.19377  3.1751 0.0015553 **       
                fesisLTU.2009  -1.09469   0.27453 -3.9875 7.292e-05 ***      
                fesisLTU.2011   1.13625   0.27996  4.0587 5.422e-05 ***      
                fesisLUX.2008  -0.61020   0.16175 -3.7726 0.0001735 ***      
                fesisLVA.2003  -0.58296   0.18737 -3.1113 0.0019293 **       
                fesisNZL.2007  -0.42132   0.16135 -2.6113 0.0091900 **       
                fesisPOL.2015   0.70440   0.18797  3.7475 0.0001915 ***      
                fesisPRT.2005   0.40464   0.15769  2.5660 0.0104683 *        
                fesisSVK.2008  -0.39254   0.19374 -2.0262 0.0430816 *        
                fesisSVK.2015   1.27778   0.38749  3.2976 0.0010185 **       
                fesisSVK.2016  -1.04858   0.40792 -2.5706 0.0103340 *        
                fesisSVN.2011  -0.63172   0.17325 -3.6464 0.0002833 ***      
                fesisTWN.2005   0.96916   0.17073  5.6765 1.925e-08 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    8.6076  1  0.003348 **       
                Ljung-Box ARCH(1) 22.6225  1 1.972e-06 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.34818      
                R-squared           0.97242      
                Log-lik.(n=936)  -271.11248      

top_25

Count

0.01

                Formula: count~ gdp + pop      
                top_25 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Tue Jan  9 19:25:11 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            9.3181e-01  9.8967e-03  94.1542 < 2.2e-16 ***      
                gdp            6.5514e-14  3.0331e-14   2.1600 0.0312339 *        
                pop            9.9437e-09  3.1133e-08   0.3194 0.7495609          
                idAUT         -1.1926e+00  5.2322e+00  -0.2279 0.8197914          
                idBEL         -1.9964e+00  5.2283e+00  -0.3819 0.7027263          
                idBRA         -4.8645e+00  7.4172e+00  -0.6558 0.5122205          
                idCAN         -4.9336e-01  5.2281e+00  -0.0944 0.9248550          
                idCHE          7.0530e-02  5.2320e+00   0.0135 0.9892496          
                idCHN          6.9162e-01  4.0059e+01   0.0173 0.9862320          
                idDEU          2.4898e+01  7.0427e+00   3.5353 0.0004439 ***      
                idDNK         -2.8068e+00  5.2457e+00  -0.5351 0.5928417          
                idESP         -1.1112e-01  5.2639e+00  -0.0211 0.9831665          
                idFIN         -2.2936e+00  5.2458e+00  -0.4372 0.6621354          
                idFRA          5.3361e+00  5.4004e+00   0.9881 0.3235746          
                idGBR          9.6015e-01  5.3685e+00   0.1788 0.8581265          
                idIND         -1.7881e+01  3.6374e+01  -0.4916 0.6232275          
                idISR          4.7484e-01  5.2332e+00   0.0907 0.9277373          
                idITA          8.3957e-01  5.3440e+00   0.1571 0.8752232          
                idJPN          3.9081e-01  1.6103e+01   0.0243 0.9806475          
                idKOR         -5.4726e+01  2.9498e+01  -1.8552 0.0641350 .        
                idNLD          6.0830e-01  5.2173e+00   0.1166 0.9072287          
                idNOR         -2.8385e+00  5.2499e+00  -0.5407 0.5889691          
                idRUS         -8.7373e+00  6.5330e+00  -1.3374 0.1816758          
                idSGP         -2.5636e+00  5.2469e+00  -0.4886 0.6253372          
                idSWE         -2.0627e+00  5.2355e+00  -0.3940 0.6937524          
                idTWN          6.9912e+00  5.2521e+00   1.3311 0.1837366          
                idUSA          1.8293e+01  1.1163e+01   1.6387 0.1018762          
                time1996      -1.0128e+00  5.1442e+00  -0.1969 0.8440028          
                time1997      -1.1686e+00  5.1418e+00  -0.2273 0.8202991          
                time1998       1.3397e+00  5.1489e+00   0.2602 0.7948250          
                time1999      -5.3487e-01  5.1912e+00  -0.1030 0.9179758          
                time2000       2.5633e+00  5.1411e+00   0.4986 0.6182744          
                time2001       5.6830e-01  5.1427e+00   0.1105 0.9120501          
                time2002      -2.0091e+00  5.1442e+00  -0.3906 0.6962871          
                time2003       3.4115e+00  5.1472e+00   0.6628 0.5077638          
                time2004       2.3464e+00  5.1606e+00   0.4547 0.6495342          
                time2005       8.7363e+00  5.1659e+00   1.6911 0.0914123 .        
                time2006       8.1788e+00  5.2141e+00   1.5686 0.1173591          
                time2007       1.5650e+01  5.2304e+00   2.9922 0.0029023 **       
                time2008       2.1155e+01  5.3449e+00   3.9580 8.615e-05 ***      
                time2009       2.8099e+01  5.3283e+00   5.2735 1.971e-07 ***      
                time2010       5.5799e+00  5.3959e+00   1.0341 0.3015697          
                time2011       5.7544e+00  5.4166e+00   1.0624 0.2885627          
                time2012      -5.0457e+00  5.3972e+00  -0.9349 0.3502890          
                time2013      -5.3851e+00  5.3537e+00  -1.0059 0.3149505          
                time2014      -5.5773e+00  5.3561e+00  -1.0413 0.2982258          
                time2015      -5.2942e+00  5.3031e+00  -0.9983 0.3185956          
                time2016      -2.1277e-01  5.3185e+00  -0.0400 0.9681050          
                time2017       4.1767e+00  5.4456e+00   0.7670 0.4434344          
                time2018       6.1633e+00  5.3311e+00   1.1561 0.2481677          
                time2019      -7.8586e+00  5.3534e+00  -1.4680 0.1427168          
                iis166         9.5833e+01  2.1360e+01   4.4866 8.925e-06 ***      
                iis168        -3.5523e+02  2.1810e+01 -16.2872 < 2.2e-16 ***      
                iis181         1.1522e+02  2.0690e+01   5.5690 4.124e-08 ***      
                iis185        -1.2818e+02  2.0388e+01  -6.2870 6.890e-10 ***      
                iis186        -1.3530e+02  2.0060e+01  -6.7447 4.117e-11 ***      
                iis388         9.4140e+01  1.9285e+01   4.8815 1.405e-06 ***      
                iis397         2.4858e+02  1.9251e+01  12.9126 < 2.2e-16 ***      
                iis398         4.2103e+02  1.9429e+01  21.6700 < 2.2e-16 ***      
                iis399         4.5646e+02  2.0272e+01  22.5171 < 2.2e-16 ***      
                iis401        -1.9884e+02  2.1638e+01  -9.1896 < 2.2e-16 ***      
                iis403        -6.8749e+01  2.0752e+01  -3.3129 0.0009880 ***      
                iis406        -1.1451e+02  2.0682e+01  -5.5366 4.912e-08 ***      
                iis407        -5.5451e+01  2.0774e+01  -2.6692 0.0078425 **       
                iis427        -1.1158e+02  2.0658e+01  -5.4014 1.010e-07 ***      
                iis429         2.2154e+02  2.0759e+01  10.6720 < 2.2e-16 ***      
                iis430        -1.6264e+02  2.1035e+01  -7.7318 5.576e-14 ***      
                iis432        -1.3407e+02  2.1630e+01  -6.1980 1.169e-09 ***      
                iis587         1.8490e+02  2.1417e+01   8.6333 < 2.2e-16 ***      
                iis588         1.1175e+02  2.1305e+01   5.2454 2.278e-07 ***      
                iis589         3.0571e+02  2.1433e+01  14.2636 < 2.2e-16 ***      
                iis590         1.2786e+02  2.2026e+01   5.8051 1.123e-08 ***      
                iis598        -9.2971e+01  2.1354e+01  -4.3537 1.614e-05 ***      
                fesisCHN.2015  1.4931e+02  1.2231e+01  12.2072 < 2.2e-16 ***      
                fesisDEU.2007  7.1575e+01  1.1500e+01   6.2237 1.005e-09 ***      
                fesisDEU.2012 -1.1111e+02  1.2210e+01  -9.0999 < 2.2e-16 ***      
                fesisJPN.2012 -5.8389e+01  1.1435e+01  -5.1061 4.631e-07 ***      
                fesisKOR.2007  1.1659e+02  1.6131e+01   7.2275 1.777e-12 ***      
                fesisKOR.2012 -1.2968e+02  1.4922e+01  -8.6904 < 2.2e-16 ***      
                fesisUSA.2004  7.8351e+01  1.3246e+01   5.9150 6.041e-09 ***      
                fesisUSA.2011 -1.6046e+02  1.5068e+01 -10.6491 < 2.2e-16 ***      
                fesisUSA.2015  1.6772e+02  2.0856e+01   8.0419 6.076e-15 ***      
                fesisUSA.2016 -1.4324e+02  2.1345e+01  -6.7109 5.096e-11 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    2.2643  1    0.1324          
                Ljung-Box ARCH(1) 57.6311  1 3.164e-14 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    18.06570      
                R-squared            0.99477      
                Log-lik.(n=600)  -2546.27214      
0.05

                Formula: count~ gdp + pop      
                top_25 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Tue Jan  9 19:25:10 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error  t-stat   p-value          
                ar1            9.2754e-01  1.5297e-02 60.6371 < 2.2e-16 ***      
                gdp            2.0363e-13  2.1269e-14  9.5741 < 2.2e-16 ***      
                pop           -2.8799e-08  2.7836e-08 -1.0346 0.3013542          
                idAUT         -1.5954e+00  4.7622e+00 -0.3350 0.7377480          
                idBEL         -2.3310e+00  4.7609e+00 -0.4896 0.6246138          
                idBRA          1.2862e+00  6.6950e+00  0.1921 0.8477244          
                idCAN         -6.4885e-02  4.7547e+00 -0.0136 0.9891172          
                idCHE         -3.2561e-01  4.7582e+00 -0.0684 0.9454693          
                idCHN          4.6084e+01  3.5960e+01  1.2815 0.2005964          
                idDEU          2.7370e+01  6.5144e+00  4.2014 3.135e-05 ***      
                idDNK         -3.5945e+00  4.7844e+00 -0.7513 0.4528292          
                idESP          8.4481e-01  4.7859e+00  0.1765 0.8599540          
                idFIN         -2.8593e+00  4.7851e+00 -0.5975 0.5504116          
                idFRA          7.1247e+00  4.9515e+00  1.4389 0.1507920          
                idGBR          2.5897e+00  4.8870e+00  0.5299 0.5964061          
                idIND          1.6993e+01  3.2753e+01  0.5188 0.6041077          
                idISR         -4.0652e-03  4.7595e+00 -0.0009 0.9993188          
                idITA          2.3234e+00  4.8617e+00  0.4779 0.6329274          
                idJPN         -6.3427e+01  1.1252e+01 -5.6367 2.883e-08 ***      
                idKOR         -1.6765e+02  2.1875e+01 -7.6642 9.253e-14 ***      
                idNLD          5.2545e-01  4.7453e+00  0.1107 0.9118743          
                idNOR         -3.7857e+00  4.7908e+00 -0.7902 0.4297866          
                idRUS         -1.3528e+01  5.9679e+00 -2.2668 0.0238237 *        
                idSGP         -3.1606e+00  4.7849e+00 -0.6605 0.5092140          
                idSWE         -2.9265e+00  4.7723e+00 -0.6132 0.5399986          
                idTWN          7.4008e+00  4.8403e+00  1.5290 0.1268912          
                idUSA          2.6952e+01  1.0178e+01  2.6480 0.0083494 **       
                time1996       2.4937e-01  4.6744e+00  0.0533 0.9574763          
                time1997      -1.4194e-01  4.6737e+00 -0.0304 0.9757841          
                time1998       2.6744e+00  4.6788e+00  0.5716 0.5678406          
                time1999       2.0083e-01  4.7212e+00  0.0425 0.9660874          
                time2000       3.0050e+00  4.6776e+00  0.6424 0.5208959          
                time2001       7.9670e-01  4.6810e+00  0.1702 0.8649203          
                time2002      -2.5421e-01  4.7295e+00 -0.0537 0.9571557          
                time2003       3.0403e+00  4.6848e+00  0.6490 0.5166480          
                time2004       3.3092e+00  4.7294e+00  0.6997 0.4844287          
                time2005       9.0232e+00  4.7889e+00  1.8842 0.0601112 .        
                time2006       9.7048e+00  4.8032e+00  2.0205 0.0438592 *        
                time2007       1.6888e+01  4.8018e+00  3.5170 0.0004757 ***      
                time2008       1.9547e+01  4.9384e+00  3.9582 8.632e-05 ***      
                time2009       2.7801e+01  4.9368e+00  5.6314 2.967e-08 ***      
                time2010       7.4933e+00  5.0097e+00  1.4958 0.1353395          
                time2011       8.1881e+00  5.0485e+00  1.6219 0.1054517          
                time2012      -3.2283e+00  5.0554e+00 -0.6386 0.5233804          
                time2013      -3.7861e+00  5.0051e+00 -0.7565 0.4497280          
                time2014      -4.6456e+00  4.9326e+00 -0.9418 0.3467381          
                time2015      -2.9636e+00  4.9078e+00 -0.6038 0.5462180          
                time2016       7.9183e-01  4.8751e+00  0.1624 0.8710376          
                time2017       4.8278e+00  4.9770e+00  0.9700 0.3325044          
                time2018       2.3536e-01  4.9283e+00  0.0478 0.9619284          
                time2019      -4.5710e+00  4.9117e+00 -0.9306 0.3524890          
                iis164         1.0841e+02  1.7464e+01  6.2078 1.120e-09 ***      
                iis165         1.6983e+02  1.7803e+01  9.5395 < 2.2e-16 ***      
                iis166         2.4460e+02  1.8536e+01 13.1959 < 2.2e-16 ***      
                iis167         1.7236e+02  2.0061e+01  8.5918 < 2.2e-16 ***      
                iis168        -2.0848e+02  2.1331e+01 -9.7739 < 2.2e-16 ***      
                iis180         5.0656e+01  2.0162e+01  2.5125 0.0122993 *        
                iis181         1.3005e+02  1.9780e+01  6.5751 1.213e-10 ***      
                iis185        -1.2762e+02  1.9245e+01 -6.6311 8.571e-11 ***      
                iis186        -1.3536e+02  1.8450e+01 -7.3369 8.756e-13 ***      
                iis388         9.8200e+01  1.7554e+01  5.5942 3.634e-08 ***      
                iis397         2.4915e+02  1.7671e+01 14.0997 < 2.2e-16 ***      
                iis398         4.8823e+02  1.8852e+01 25.8979 < 2.2e-16 ***      
                iis399         5.2052e+02  1.9393e+01 26.8413 < 2.2e-16 ***      
                iis400         7.6996e+01  2.1711e+01  3.5465 0.0004267 ***      
                iis401        -1.9254e+02  2.1303e+01 -9.0382 < 2.2e-16 ***      
                iis403        -6.5219e+01  1.9064e+01 -3.4211 0.0006741 ***      
                iis406        -1.1492e+02  1.8829e+01 -6.1033 2.069e-09 ***      
                iis407        -5.0563e+01  1.9161e+01 -2.6389 0.0085739 **       
                iis415        -4.7569e+01  1.7586e+01 -2.7050 0.0070611 **       
                iis418        -4.9104e+01  1.7832e+01 -2.7538 0.0061036 **       
                iis419        -7.3024e+01  1.8074e+01 -4.0403 6.167e-05 ***      
                iis421         1.0134e+02  1.8541e+01  5.4658 7.246e-08 ***      
                iis422         8.8674e+01  1.8523e+01  4.7872 2.224e-06 ***      
                iis427        -1.0905e+02  1.8801e+01 -5.8003 1.167e-08 ***      
                iis429         2.1038e+02  1.8903e+01 11.1293 < 2.2e-16 ***      
                iis430        -1.7993e+02  1.8978e+01 -9.4808 < 2.2e-16 ***      
                iis432        -1.6718e+02  1.9267e+01 -8.6769 < 2.2e-16 ***      
                iis586         5.8534e+01  2.3734e+01  2.4662 0.0139859 *        
                iis587         3.4481e+02  2.1541e+01 16.0076 < 2.2e-16 ***      
                iis588         2.7318e+02  1.9668e+01 13.8900 < 2.2e-16 ***      
                iis589         4.7089e+02  1.8935e+01 24.8682 < 2.2e-16 ***      
                iis590         2.9349e+02  1.8442e+01 15.9138 < 2.2e-16 ***      
                iis591         1.9167e+02  1.8694e+01 10.2533 < 2.2e-16 ***      
                iis596         1.6899e+02  1.8864e+01  8.9582 < 2.2e-16 ***      
                iis598        -6.5846e+01  1.9184e+01 -3.4324 0.0006473 ***      
                fesisDEU.2007  6.0426e+01  1.3512e+01  4.4720 9.574e-06 ***      
                fesisDEU.2012 -9.8822e+01  1.3150e+01 -7.5148 2.606e-13 ***      
                fesisJPN.2009 -6.2688e+01  1.2251e+01 -5.1170 4.416e-07 ***      
                fesisKOR.2012 -1.2128e+02  1.5282e+01 -7.9358 1.356e-14 ***      
                fesisUSA.2004  3.6211e+01  1.7825e+01  2.0315 0.0427295 *        
                fesisUSA.2006 -1.1719e+02  2.2706e+01 -5.1609 3.537e-07 ***      
                fesisUSA.2018  1.3532e+02  2.0040e+01  6.7526 3.995e-11 ***      
                fesisUSA.2019 -1.7295e+02  2.3778e+01 -7.2733 1.343e-12 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    1.9686  1    0.1606          
                Ljung-Box ARCH(1) 55.1363  1 1.125e-13 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    16.43088      
                R-squared            0.99576      
                Log-lik.(n=600)  -2483.86075      

Log Count

0.01

                Formula: log_count~ lgdp + lpop      
                top_25 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Tue Jan  9 19:30:43 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error   t-stat   p-value          
                ar1             0.378664   0.032417  11.6812 < 2.2e-16 ***      
                lgdp            1.379616   0.139284   9.9051 < 2.2e-16 ***      
                lpop           -0.845030   0.449291  -1.8808 0.0605493 .        
                idAUT           0.688552   0.374603   1.8381 0.0666124 .        
                idBEL           0.481014   0.285721   1.6835 0.0928692 .        
                idBRA          -1.253656   0.964135  -1.3003 0.1940697          
                idCAN          -0.208166   0.252128  -0.8256 0.4093831          
                idCHE           0.109689   0.413699   0.2651 0.7910038          
                idCHN          -0.678782   1.721849  -0.3942 0.6935805          
                idDEU           1.187264   0.611512   1.9415 0.0527276 .        
                idDNK          -3.359732   0.639292  -5.2554 2.149e-07 ***      
                idESP           0.760940   0.397625   1.9137 0.0561981 .        
                idFIN           0.322612   0.544336   0.5927 0.5536555          
                idFRA           0.576368   0.514015   1.1213 0.2626687          
                idGBR           0.628896   0.509540   1.2342 0.2176625          
                idIND          -2.804796   1.657734  -1.6919 0.0912474 .        
                idISR          -0.750840   0.456148  -1.6460 0.1003507          
                idITA           0.478792   0.485844   0.9855 0.3248376          
                idJPN          -5.129969   0.836077  -6.1358 1.666e-09 ***      
                idKOR          -8.635480   0.838331 -10.3008 < 2.2e-16 ***      
                idNLD          -0.369552   0.370995  -0.9961 0.3196535          
                idNOR          -3.470487   0.720974  -4.8136 1.939e-06 ***      
                idRUS          -4.384392   0.847967  -5.1705 3.321e-07 ***      
                idSGP          -0.289581   0.601033  -0.4818 0.6301444          
                idSWE          -2.357548   0.465013  -5.0699 5.521e-07 ***      
                idTWN           0.301616   0.199278   1.5135 0.1307414          
                idUSA           0.222153   1.107272   0.2006 0.8410643          
                time1996      -22.389928   6.660601  -3.3615 0.0008313 ***      
                time1997      -22.647013   6.662566  -3.3991 0.0007272 ***      
                time1998      -22.397482   6.665548  -3.3602 0.0008353 ***      
                time1999      -22.328509   6.668849  -3.3482 0.0008716 ***      
                time2000      -22.317862   6.670184  -3.3459 0.0008786 ***      
                time2001      -22.324437   6.674094  -3.3449 0.0008816 ***      
                time2002      -22.221597   6.676803  -3.3282 0.0009352 ***      
                time2003      -22.082015   6.679105  -3.3061 0.0010104 **       
                time2004      -22.131045   6.682048  -3.3120 0.0009898 ***      
                time2005      -21.974323   6.684394  -3.2874 0.0010786 **       
                time2006      -21.842561   6.687536  -3.2662 0.0011611 **       
                time2007      -21.592296   6.689217  -3.2279 0.0013245 **       
                time2008      -21.399771   6.690961  -3.1983 0.0014654 **       
                time2009      -21.230887   6.692368  -3.1724 0.0015999 **       
                time2010      -21.323270   6.693930  -3.1855 0.0015308 **       
                time2011      -21.418176   6.696948  -3.1982 0.0014660 **       
                time2012      -21.466869   6.700006  -3.2040 0.0014373 **       
                time2013      -21.732417   6.703155  -3.2421 0.0012615 **       
                time2014      -21.738374   6.707034  -3.2411 0.0012658 **       
                time2015      -21.840756   6.710201  -3.2549 0.0012073 **       
                time2016      -21.768239   6.713952  -3.2422 0.0012610 **       
                time2017      -21.865323   6.716224  -3.2556 0.0012043 **       
                time2018      -21.945525   6.718780  -3.2663 0.0011605 **       
                time2019      -22.089044   6.722275  -3.2859 0.0010840 **       
                iis50           1.130681   0.351977   3.2124 0.0013969 **       
                iis87          -1.121088   0.353345  -3.1728 0.0015979 **       
                iis98          -1.136936   0.352069  -3.2293 0.0013183 **       
                iis100         -1.301356   0.352017  -3.6969 0.0002412 ***      
                iis223         -1.437813   0.352687  -4.0767 5.272e-05 ***      
                iis237         -1.046934   0.351128  -2.9816 0.0029998 **       
                iis245         -1.086174   0.351351  -3.0914 0.0020974 **       
                iis363         -1.772360   0.351815  -5.0378 6.481e-07 ***      
                iis434          1.339932   0.354125   3.7838 0.0001722 ***      
                iis463         -1.218693   0.351145  -3.4706 0.0005618 ***      
                iis504         -0.954117   0.355288  -2.6855 0.0074709 **       
                iis515         -1.805629   0.352247  -5.1260 4.162e-07 ***      
                iis553         -1.158414   0.367984  -3.1480 0.0017370 **       
                iis556         -1.402827   0.367741  -3.8147 0.0001525 ***      
                fesisAUS.2005  -0.482768   0.150318  -3.2116 0.0014004 **       
                fesisBRA.2014   0.601304   0.164429   3.6569 0.0002809 ***      
                fesisDNK.2001   0.655361   0.175317   3.7382 0.0002057 ***      
                fesisKOR.2003   0.933270   0.162681   5.7368 1.628e-08 ***      
                fesisNLD.1997   0.962657   0.352052   2.7344 0.0064594 **       
                fesisRUS.2004  -0.794880   0.167594  -4.7429 2.716e-06 ***      
                fesisSWE.2001  -0.608833   0.174306  -3.4929 0.0005180 ***      
                fesisTWN.2005   0.691796   0.167540   4.1291 4.233e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    2.3593  1    0.1245          
                Ljung-Box ARCH(1) 17.5985  1 2.728e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.33614      
                R-squared           0.96594      
                Log-lik.(n=600)  -160.72229      
0.05

                Formula: log_count~ lgdp + lpop      
                top_25 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Tue Jan  9 19:31:22 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1             0.41450   0.03012 13.7615 < 2.2e-16 ***      
                lgdp            1.17624   0.13752  8.5532 < 2.2e-16 ***      
                lpop           -0.66703   0.48119 -1.3862 0.1663058          
                idAUT           1.27077   0.42749  2.9726 0.0030954 **       
                idBEL           0.45597   0.28946  1.5753 0.1158294          
                idBRA          -1.23706   1.04469 -1.1841 0.2369187          
                idCAN          -0.12532   0.26598 -0.4712 0.6377184          
                idCHE           0.20614   0.43398  0.4750 0.6349961          
                idCHN          -0.78124   1.86519 -0.4188 0.6755068          
                idDEU           1.10884   0.65095  1.7034 0.0891135 .        
                idDNK          -2.89893   0.66163 -4.3815 1.438e-05 ***      
                idESP           0.43427   0.42311  1.0264 0.3052212          
                idFIN           1.20043   0.62385  1.9242 0.0548964 .        
                idFRA           0.53137   0.54946  0.9671 0.3339754          
                idGBR           0.55945   0.54426  1.0279 0.3044860          
                idIND          -2.63235   1.79079 -1.4699 0.1422114          
                idISR          -1.10421   0.57954 -1.9053 0.0573133 .        
                idITA           0.43564   0.52022  0.8374 0.4027596          
                idJPN          -4.25574   0.87032 -4.8899 1.364e-06 ***      
                idKOR          -7.36654   0.82407 -8.9392 < 2.2e-16 ***      
                idNLD          -0.27189   0.32367 -0.8400 0.4012892          
                idNOR          -2.55691   0.78525 -3.2562 0.0012062 **       
                idRUS          -4.01661   0.90875 -4.4199 1.213e-05 ***      
                idSGP          -0.07414   0.69304 -0.1070 0.9148496          
                idSWE          -2.05968   0.47539 -4.3326 1.783e-05 ***      
                idTWN           0.29765   0.18814  1.5821 0.1142730          
                idUSA           0.24912   1.18867  0.2096 0.8340808          
                time1996      -20.00736   7.13020 -2.8060 0.0052124 **       
                time1997      -20.12559   7.13396 -2.8211 0.0049771 **       
                time1998      -19.83322   7.13437 -2.7800 0.0056424 **       
                time1999      -19.81805   7.13711 -2.7768 0.0056973 **       
                time2000      -19.80720   7.13813 -2.7748 0.0057304 **       
                time2001      -19.72949   7.14252 -2.7623 0.0059525 **       
                time2002      -19.82375   7.14411 -2.7748 0.0057305 **       
                time2003      -19.64351   7.14548 -2.7491 0.0061933 **       
                time2004      -19.61713   7.14741 -2.7447 0.0062763 **       
                time2005      -19.46572   7.14933 -2.7227 0.0067015 **       
                time2006      -19.38112   7.15036 -2.7105 0.0069498 **       
                time2007      -19.14975   7.15148 -2.6777 0.0076571 **       
                time2008      -18.93773   7.15339 -2.6474 0.0083689 **       
                time2009      -18.78858   7.15491 -2.6260 0.0089061 **       
                time2010      -18.88237   7.15611 -2.6386 0.0085847 **       
                time2011      -18.97426   7.15935 -2.6503 0.0082985 **       
                time2012      -19.02095   7.16262 -2.6556 0.0081708 **       
                time2013      -19.31628   7.16587 -2.6956 0.0072640 **       
                time2014      -19.27457   7.17012 -2.6882 0.0074249 **       
                time2015      -19.39147   7.17418 -2.7030 0.0071075 **       
                time2016      -19.30700   7.17830 -2.6896 0.0073931 **       
                time2017      -19.40508   7.18051 -2.7025 0.0071177 **       
                time2018      -19.48090   7.18317 -2.7120 0.0069187 **       
                time2019      -19.66151   7.18768 -2.7354 0.0064519 **       
                iis8            0.71170   0.31166  2.2836 0.0228163 *        
                iis27          -1.06441   0.30293 -3.5138 0.0004821 ***      
                iis50           1.10436   0.30164  3.6612 0.0002779 ***      
                iis82          -0.72073   0.30309 -2.3779 0.0177864 *        
                iis87          -1.14400   0.30246 -3.7823 0.0001743 ***      
                iis98          -1.20478   0.30336 -3.9715 8.196e-05 ***      
                iis99           0.67905   0.30341  2.2380 0.0256593 *        
                iis100         -1.35669   0.30197 -4.4928 8.748e-06 ***      
                iis106         -0.90922   0.30131 -3.0175 0.0026789 **       
                iis199          0.98159   0.30497  3.2186 0.0013719 **       
                iis201         -0.93064   0.30363 -3.0650 0.0022947 **       
                iis202          0.79490   0.30568  2.6004 0.0095870 **       
                iis204          0.85722   0.30367  2.8229 0.0049495 **       
                iis210          0.83211   0.30527  2.7258 0.0066402 **       
                iis237         -1.17617   0.30226 -3.8913 0.0001133 ***      
                iis242         -0.70268   0.30564 -2.2991 0.0219143 *        
                iis245         -1.07605   0.30147 -3.5694 0.0003925 ***      
                iis264          0.94024   0.30107  3.1230 0.0018944 **       
                iis319          0.93661   0.30260  3.0952 0.0020776 **       
                iis363         -1.82933   0.30172 -6.0630 2.643e-09 ***      
                iis434          1.34187   0.30342  4.4225 1.199e-05 ***      
                iis463         -1.15164   0.30200 -3.8134 0.0001542 ***      
                iis481          0.83807   0.33000  2.5396 0.0114013 *        
                iis487          1.47235   0.30803  4.7799 2.312e-06 ***      
                iis488          1.16133   0.30730  3.7791 0.0001765 ***      
                iis491          0.77507   0.30368  2.5522 0.0110007 *        
                iis504         -0.84206   0.30441 -2.7662 0.0058820 **       
                iis515         -1.77589   0.31087 -5.7126 1.916e-08 ***      
                iis529          0.71151   0.33139  2.1470 0.0322731 *        
                iis553         -1.01269   0.31578 -3.2069 0.0014278 **       
                iis556         -1.42415   0.31429 -4.5313 7.346e-06 ***      
                fesisAUS.2005  -0.36062   0.13781 -2.6167 0.0091482 **       
                fesisAUT.1998  -0.61119   0.22084 -2.7676 0.0058565 **       
                fesisBRA.2014   0.56093   0.14235  3.9404 9.296e-05 ***      
                fesisCHN.2015   0.47999   0.18172  2.6413 0.0085175 **       
                fesisDNK.2001   0.51544   0.15665  3.2904 0.0010712 **       
                fesisESP.2001  -0.84963   0.24721 -3.4369 0.0006377 ***      
                fesisESP.2003   1.20434   0.22283  5.4047 1.008e-07 ***      
                fesisFIN.1997  -0.92295   0.30443 -3.0317 0.0025583 **       
                fesisISR.1998   0.61452   0.23160  2.6534 0.0082233 **       
                fesisKOR.2003   0.63050   0.18595  3.3907 0.0007526 ***      
                fesisKOR.2007   0.41691   0.17278  2.4130 0.0161810 *        
                fesisNLD.1997   0.84409   0.30239  2.7914 0.0054496 **       
                fesisNOR.1998  -1.35268   0.36050 -3.7522 0.0001959 ***      
                fesisNOR.1999   1.01173   0.30343  3.3343 0.0009190 ***      
                fesisRUS.2001  -0.60693   0.18480 -3.2843 0.0010944 **       
                fesisSGP.2001  -0.78836   0.24746 -3.1858 0.0015339 **       
                fesisSGP.2003   1.13449   0.26867  4.2226 2.872e-05 ***      
                fesisSGP.2006  -0.50548   0.20155 -2.5079 0.0124615 *        
                fesisSWE.2001  -0.42590   0.16451 -2.5889 0.0099113 **       
                fesisTWN.2005   0.67073   0.14519  4.6198 4.898e-06 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df p-value      
                Ljung-Box AR(1)   0.33894  1  0.5604      
                Ljung-Box ARCH(1) 0.46044  1  0.4974      
                                                
                SE of regression   0.28700      
                R-squared          0.97653      
                Log-lik.(n=600)  -51.40885      

top_50

Count

0.01

                Formula: count~ gdp + pop      
                top_50 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Tue Jan  9 19:29:50 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 1200       
                Sample: 1 to 1200       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            8.8148e-01  1.0437e-02  84.4602 < 2.2e-16 ***      
                gdp           -1.5894e-16  8.7780e-16  -0.1811 0.8563526          
                pop            7.7789e-09  1.8716e-08   0.4156 0.6777652          
                idAUS          5.5321e+00  3.2666e+00   1.6935 0.0906462 .        
                idAUT          3.4814e+00  3.2877e+00   1.0589 0.2898800          
                idBEL          2.4820e+00  3.2768e+00   0.7575 0.4489431          
                idBGR          3.2044e-01  3.2812e+00   0.0977 0.9222221          
                idBRA         -5.5147e-01  4.2824e+00  -0.1288 0.8975609          
                idCAN          5.0561e+00  3.2485e+00   1.5564 0.1199049          
                idCHE          5.5641e+00  3.3065e+00   1.6828 0.0927127 .        
                idCHL          2.7123e-01  3.2569e+00   0.0833 0.9336452          
                idCHN          1.2628e+00  2.3521e+01   0.0537 0.9571925          
                idCZE          4.9316e-01  3.2721e+00   0.1507 0.8802271          
                idDEU          3.3937e+01  4.3511e+00   7.7996 1.460e-14 ***      
                idDNK          1.3060e+00  3.2904e+00   0.3969 0.6915029          
                idESP          5.4469e+00  3.2466e+00   1.6777 0.0936875 .        
                idFIN          1.6327e+00  3.2906e+00   0.4962 0.6198643          
                idFRA          1.3505e+01  3.3697e+00   4.0078 6.550e-05 ***      
                idGBR          7.6057e+00  3.2986e+00   2.3058 0.0213127 *        
                idGRC          6.8193e-01  3.2708e+00   0.2085 0.8348857          
                idHKG          7.5805e-01  3.2840e+00   0.2308 0.8174871          
                idHUN          5.1196e-01  3.2735e+00   0.1564 0.8757512          
                idIND         -5.6266e+00  2.1800e+01  -0.2581 0.7963811          
                idIRL          7.9424e-01  3.2937e+00   0.2411 0.8094920          
                idIRN          1.6725e+00  1.0503e+01   0.1592 0.8735081          
                idISR          5.7522e+00  3.3021e+00   1.7420 0.0817970 .        
                idITA          7.2008e+00  3.2827e+00   2.1936 0.0284800 *        
                idJPN          4.5086e+01  5.5672e+00   8.0986 1.495e-15 ***      
                idKOR          1.2470e+01  4.2063e+00   2.9646 0.0030972 **       
                idLUX          3.5277e-01  3.3084e+00   0.1066 0.9151035          
                idMEX         -3.1572e-01  3.4719e+00  -0.0909 0.9275605          
                idMYS          4.6139e-01  3.2336e+00   0.1427 0.8865664          
                idNLD          5.9104e+00  3.2744e+00   1.8050 0.0713474 .        
                idNOR          1.2165e+00  3.2923e+00   0.3695 0.7118351          
                idNZL          6.4217e-01  3.2937e+00   0.1950 0.8454526          
                idPHL         -3.5299e-01  3.3596e+00  -0.1051 0.9163416          
                idPOL          8.1969e-01  3.2249e+00   0.2542 0.7994080          
                idPRT          6.5486e-01  3.2723e+00   0.2001 0.8414223          
                idROU          3.1437e-01  3.2443e+00   0.0969 0.9228248          
                idRUS          8.1263e-02  3.7699e+00   0.0216 0.9828063          
                idSAU          1.0980e+00  3.2339e+00   0.3395 0.7342840          
                idSGP          1.4352e+00  3.2932e+00   0.4358 0.6630745          
                idSVK          3.7708e-01  3.2892e+00   0.1146 0.9087504          
                idSVN          4.9063e-01  3.3021e+00   0.1486 0.8819131          
                idSWE          2.3683e+00  3.2786e+00   0.7224 0.4702355          
                idTHA         -8.6807e-02  3.2626e+00  -0.0266 0.9787781          
                idTUR          5.1137e-01  3.2774e+00   0.1560 0.8760409          
                idTWN          1.5635e+01  3.4035e+00   4.5937 4.868e-06 ***      
                idUKR          1.3415e-01  3.2270e+00   0.0416 0.9668470          
                idUSA          3.1906e+01  6.4536e+00   4.9439 8.876e-07 ***      
                idVNM          5.3458e-02  4.0030e+00   0.0134 0.9893475          
                idZAF          3.1528e-01  3.2308e+00   0.0976 0.9222793          
                time1996      -3.5074e+00  2.8289e+00  -1.2398 0.2153077          
                time1997      -3.5883e+00  2.8321e+00  -1.2670 0.2054171          
                time1998      -2.3820e+00  2.8354e+00  -0.8401 0.4010432          
                time1999      -2.9521e+00  2.8448e+00  -1.0377 0.2996332          
                time2000      -1.3154e+00  2.8394e+00  -0.4633 0.6432549          
                time2001      -2.0205e+00  2.8418e+00  -0.7110 0.4772486          
                time2002      -3.1841e+00  2.8445e+00  -1.1194 0.2632270          
                time2003      -1.6343e-01  2.8479e+00  -0.0574 0.9542477          
                time2004       7.3386e-01  2.8503e+00   0.2575 0.7968686          
                time2005       2.5372e+00  2.8607e+00   0.8869 0.3753217          
                time2006       3.5669e+00  2.8632e+00   1.2458 0.2131226          
                time2007       4.3438e+00  2.8909e+00   1.5026 0.1332366          
                time2008       7.4415e+00  2.8981e+00   2.5677 0.0103722 *        
                time2009       1.0088e+01  2.8963e+00   3.4831 0.0005156 ***      
                time2010       2.8465e+00  2.8981e+00   0.9822 0.3262220          
                time2011       1.6249e+00  2.9047e+00   0.5594 0.5760092          
                time2012      -2.2419e+00  2.9090e+00  -0.7707 0.4410702          
                time2013      -5.6049e+00  2.9056e+00  -1.9290 0.0539912 .        
                time2014      -3.6275e+00  2.9057e+00  -1.2484 0.2121525          
                time2015      -1.5167e+00  2.8992e+00  -0.5232 0.6009774          
                time2016      -3.7261e-01  2.9232e+00  -0.1275 0.8985977          
                time2017       6.7170e-01  2.9271e+00   0.2295 0.8185393          
                time2018      -2.5583e+00  2.9247e+00  -0.8747 0.3819080          
                time2019      -4.5992e+00  2.9274e+00  -1.5711 0.1164528          
                iis236         8.5617e+01  1.2203e+01   7.0158 4.036e-12 ***      
                iis237         1.5524e+02  1.2297e+01  12.6236 < 2.2e-16 ***      
                iis238         2.4133e+02  1.2625e+01  19.1160 < 2.2e-16 ***      
                iis239         1.7929e+02  1.3464e+01  13.3156 < 2.2e-16 ***      
                iis240        -1.9705e+02  1.4172e+01 -13.9041 < 2.2e-16 ***      
                iis276         6.3900e+01  1.4548e+01   4.3923 1.232e-05 ***      
                iis277         1.4902e+02  1.4204e+01  10.4909 < 2.2e-16 ***      
                iis278         8.9352e+01  1.3874e+01   6.4401 1.796e-10 ***      
                iis281        -1.1522e+02  1.3283e+01  -8.6744 < 2.2e-16 ***      
                iis282        -1.2934e+02  1.2653e+01 -10.2225 < 2.2e-16 ***      
                iis285        -4.6205e+01  1.2373e+01  -3.7343 0.0001981 ***      
                iis604         9.3940e+01  1.1862e+01   7.9196 5.904e-15 ***      
                iis612         7.0328e+01  1.1886e+01   5.9166 4.411e-09 ***      
                iis613         1.9063e+02  1.9697e+01   9.6784 < 2.2e-16 ***      
                iis614         3.7917e+02  1.8195e+01  20.8398 < 2.2e-16 ***      
                iis615         4.2239e+02  1.6553e+01  25.5172 < 2.2e-16 ***      
                iis617        -1.5494e+02  1.4027e+01 -11.0456 < 2.2e-16 ***      
                iis622        -1.0039e+02  1.2418e+01  -8.0847 1.665e-15 ***      
                iis623        -4.5157e+01  1.2721e+01  -3.5499 0.0004020 ***      
                iis637         8.4023e+01  1.3898e+01   6.0457 2.048e-09 ***      
                iis638         8.8577e+01  1.3846e+01   6.3972 2.355e-10 ***      
                iis640         4.0016e+01  1.4247e+01   2.8087 0.0050641 **       
                iis643        -9.7059e+01  1.3036e+01  -7.4457 1.971e-13 ***      
                iis645         1.7052e+02  1.5982e+01  10.6698 < 2.2e-16 ***      
                iis646        -1.9539e+02  1.6054e+01 -12.1712 < 2.2e-16 ***      
                iis648        -1.7357e+02  1.5974e+01 -10.8658 < 2.2e-16 ***      
                iis1139        1.0851e+02  1.8977e+01   5.7183 1.393e-08 ***      
                iis1140        5.5725e+01  1.7583e+01   3.1693 0.0015713 **       
                iis1141        2.6150e+02  1.6899e+01  15.4737 < 2.2e-16 ***      
                iis1142        1.0673e+02  1.6054e+01   6.6481 4.708e-11 ***      
                iis1144       -7.0134e+01  1.4311e+01  -4.9006 1.102e-06 ***      
                iis1145       -1.4964e+02  1.3813e+01 -10.8333 < 2.2e-16 ***      
                iis1147       -1.7537e+02  1.3182e+01 -13.3039 < 2.2e-16 ***      
                iis1149       -1.3951e+02  1.3051e+01 -10.6895 < 2.2e-16 ***      
                iis1150       -1.9504e+02  1.3061e+01 -14.9332 < 2.2e-16 ***      
                iis1152       -1.7719e+02  1.3205e+01 -13.4181 < 2.2e-16 ***      
                fesisCHN.2009  4.1827e+01  6.0361e+00   6.9294 7.260e-12 ***      
                fesisDEU.2007  6.3483e+01  1.0683e+01   5.9425 3.786e-09 ***      
                fesisDEU.2012 -8.8888e+01  1.0497e+01  -8.4682 < 2.2e-16 ***      
                fesisJPN.2008  8.5354e+01  1.7752e+01   4.8083 1.739e-06 ***      
                fesisJPN.2012 -1.2330e+02  1.4326e+01  -8.6069 < 2.2e-16 ***      
                fesisKOR.2007  1.2765e+02  9.2788e+00  13.7573 < 2.2e-16 ***      
                fesisKOR.2012 -8.1517e+01  1.0901e+01  -7.4780 1.561e-13 ***      
                fesisKOR.2016  6.6344e+01  1.3042e+01   5.0868 4.293e-07 ***      
                fesisUSA.2005  9.9064e+01  1.1948e+01   8.2909 3.319e-16 ***      
                fesisUSA.2006  6.5238e+01  1.9585e+01   3.3310 0.0008946 ***      
                fesisUSA.2011 -9.1383e+01  1.4122e+01  -6.4708 1.477e-10 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   12.479  1 0.0004116 ***      
                Ljung-Box ARCH(1) 66.088  1 4.441e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    11.16959      
                R-squared            0.99623      
                Log-lik.(n=1200) -4537.06057      
0.05

                Formula: count~ gdp + pop      
                top_50 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Tue Jan  9 19:30:39 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 1200       
                Sample: 1 to 1200       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            8.4714e-01  7.5004e-03 112.9459 < 2.2e-16 ***      
                gdp           -2.5103e-16  7.4191e-16  -0.3384 0.7351555          
                pop            1.1870e-08  1.5812e-08   0.7507 0.4529816          
                idAUS          6.8356e+00  2.7548e+00   2.4814 0.0132417 *        
                idAUT          4.3254e+00  2.7759e+00   1.5582 0.1194792          
                idBEL          3.1767e+00  2.7675e+00   1.1479 0.2512786          
                idBGR          4.7294e-01  2.7727e+00   0.1706 0.8645961          
                idBRA         -1.1086e+00  3.6186e+00  -0.3064 0.7593846          
                idCAN          6.2953e+00  2.7400e+00   2.2975 0.0217807 *        
                idCHE          6.9588e+00  2.7877e+00   2.4962 0.0127029 *        
                idCHL          3.9909e-01  2.7521e+00   0.1450 0.8847285          
                idCHN         -2.8962e+00  1.9876e+01  -0.1457 0.8841777          
                idCZE          6.6258e-01  2.7649e+00   0.2396 0.8106586          
                idDEU          3.7600e+01  3.6403e+00  10.3288 < 2.2e-16 ***      
                idDNK          1.7118e+00  2.7800e+00   0.6158 0.5381768          
                idESP          6.6636e+00  2.7386e+00   2.4332 0.0151280 *        
                idFIN          1.9886e+00  2.7803e+00   0.7153 0.4746105          
                idFRA          1.6348e+01  2.8217e+00   5.7938 9.050e-09 ***      
                idGBR          9.4341e+00  2.7765e+00   3.3978 0.0007044 ***      
                idGRC          9.2106e-01  2.7638e+00   0.3333 0.7390036          
                idHKG          1.0145e+00  2.7749e+00   0.3656 0.7147383          
                idHUN          6.9275e-01  2.7661e+00   0.2504 0.8022952          
                idIND         -9.6396e+00  1.8421e+01  -0.5233 0.6008775          
                idIRL          1.0599e+00  2.7831e+00   0.3808 0.7034015          
                idIRN          2.5965e+00  8.8777e+00   0.2925 0.7699848          
                idISR          6.9863e+00  2.7854e+00   2.5082 0.0122830 *        
                idITA          8.8550e+00  2.7651e+00   3.2024 0.0014031 **       
                idJPN          2.7891e+01  6.0153e+00   4.6367 3.979e-06 ***      
                idKOR          1.3455e+01  3.5513e+00   3.7887 0.0001599 ***      
                idLUX          5.2768e-01  2.7957e+00   0.1887 0.8503264          
                idMEX         -5.5115e-01  2.9339e+00  -0.1879 0.8510242          
                idMYS          5.7668e-01  2.7325e+00   0.2110 0.8328927          
                idNLD          7.1235e+00  2.7621e+00   2.5790 0.0100413 *        
                idNOR          1.5469e+00  2.7818e+00   0.5561 0.5782637          
                idNZL          8.7392e-01  2.7831e+00   0.3140 0.7535775          
                idPHL         -5.4749e-01  2.8390e+00  -0.1928 0.8471164          
                idPOL          9.6814e-01  2.7251e+00   0.3553 0.7224567          
                idPRT          8.8104e-01  2.7651e+00   0.3186 0.7500702          
                idROU          4.3461e-01  2.7416e+00   0.1585 0.8740724          
                idRUS         -1.1598e-01  3.1860e+00  -0.0364 0.9709674          
                idSAU          1.2951e+00  2.7327e+00   0.4739 0.6356451          
                idSGP          1.8391e+00  2.7824e+00   0.6610 0.5087708          
                idSVK          5.6210e-01  2.7794e+00   0.2022 0.8397692          
                idSVN          6.5840e-01  2.7904e+00   0.2360 0.8135135          
                idSWE          2.8922e+00  2.7697e+00   1.0442 0.2966134          
                idTHA         -1.6858e-01  2.7570e+00  -0.0611 0.9512542          
                idTUR          5.1735e-01  2.7696e+00   0.1868 0.8518567          
                idTWN          5.9786e+00  3.4611e+00   1.7274 0.0843925 .        
                idUKR          1.3628e-01  2.7269e+00   0.0500 0.9601515          
                idUSA          3.4730e+01  5.4406e+00   6.3836 2.577e-10 ***      
                idVNM          1.0343e-01  3.3834e+00   0.0306 0.9756179          
                idZAF          3.7485e-01  2.7301e+00   0.1373 0.8908193          
                time1996      -3.4262e+00  2.3910e+00  -1.4330 0.1521631          
                time1997      -3.4887e+00  2.3937e+00  -1.4574 0.1452900          
                time1998      -2.9739e+00  2.3994e+00  -1.2394 0.2154529          
                time1999      -3.2764e+00  2.4021e+00  -1.3640 0.1728602          
                time2000      -2.2726e+00  2.4048e+00  -0.9450 0.3448608          
                time2001      -1.6892e+00  2.4024e+00  -0.7031 0.4821212          
                time2002      -2.8122e+00  2.4047e+00  -1.1694 0.2424920          
                time2003      -6.3755e-01  2.4124e+00  -0.2643 0.7916134          
                time2004       1.2843e-01  2.4150e+00   0.0532 0.9575983          
                time2005       1.5134e+00  2.4243e+00   0.6243 0.5325860          
                time2006       4.2517e+00  2.4204e+00   1.7566 0.0792738 .        
                time2007       3.5405e+00  2.4479e+00   1.4464 0.1483710          
                time2008       6.5258e+00  2.4510e+00   2.6625 0.0078735 **       
                time2009       7.7529e+00  2.4559e+00   3.1569 0.0016394 **       
                time2010       2.4377e+00  2.4550e+00   0.9930 0.3209561          
                time2011       6.8971e-01  2.4565e+00   0.2808 0.7789391          
                time2012      -1.2579e+00  2.4574e+00  -0.5119 0.6088407          
                time2013      -3.4091e+00  2.4522e+00  -1.3902 0.1647546          
                time2014      -2.6549e+00  2.4566e+00  -1.0807 0.2800649          
                time2015      -1.6433e+00  2.4560e+00  -0.6691 0.5035849          
                time2016      -1.5005e+00  2.4787e+00  -0.6054 0.5450696          
                time2017       9.9572e-01  2.4749e+00   0.4023 0.6875198          
                time2018      -2.3480e+00  2.4736e+00  -0.9492 0.3427197          
                time2019      -3.6667e+00  2.4763e+00  -1.4807 0.1389797          
                iis236         8.6333e+01  1.0313e+01   8.3717 < 2.2e-16 ***      
                iis237         1.6059e+02  1.0373e+01  15.4811 < 2.2e-16 ***      
                iis238         2.5087e+02  1.0577e+01  23.7181 < 2.2e-16 ***      
                iis239         1.9690e+02  1.1085e+01  17.7627 < 2.2e-16 ***      
                iis240        -1.7538e+02  1.1526e+01 -15.2152 < 2.2e-16 ***      
                iis276         6.3901e+01  1.3898e+01   4.5980 4.776e-06 ***      
                iis277         1.5371e+02  1.3700e+01  11.2203 < 2.2e-16 ***      
                iis278         1.0254e+02  1.3522e+01   7.5834 7.307e-14 ***      
                iis280         3.1521e+01  1.3492e+01   2.3363 0.0196614 *        
                iis281        -9.9138e+01  1.1029e+01  -8.9891 < 2.2e-16 ***      
                iis282        -1.2131e+02  1.0636e+01 -11.4054 < 2.2e-16 ***      
                iis285        -4.3446e+01  1.0457e+01  -4.1545 3.520e-05 ***      
                iis603         3.5237e+01  1.0527e+01   3.3474 0.0008441 ***      
                iis604         1.1847e+02  1.0462e+01  11.3236 < 2.2e-16 ***      
                iis605         6.0789e+01  1.0281e+01   5.9129 4.522e-09 ***      
                iis608         4.2105e+01  1.0328e+01   4.0766 4.909e-05 ***      
                iis609         5.3650e+01  1.0295e+01   5.2110 2.254e-07 ***      
                iis610         7.5724e+01  1.0254e+01   7.3847 3.074e-13 ***      
                iis612         1.0169e+02  1.0211e+01   9.9588 < 2.2e-16 ***      
                iis613         3.0997e+02  1.0156e+01  30.5199 < 2.2e-16 ***      
                iis614         5.0930e+02  1.0188e+01  49.9882 < 2.2e-16 ***      
                iis615         5.6542e+02  1.1005e+01  51.3785 < 2.2e-16 ***      
                iis616         1.5787e+02  1.2540e+01  12.5893 < 2.2e-16 ***      
                iis617        -1.2422e+02  1.2302e+01 -10.0977 < 2.2e-16 ***      
                iis622        -5.8255e+01  1.1821e+01  -4.9280 9.627e-07 ***      
                iis636         4.8292e+01  1.1862e+01   4.0710 5.027e-05 ***      
                iis637         1.5067e+02  1.1575e+01  13.0173 < 2.2e-16 ***      
                iis638         1.6372e+02  1.1205e+01  14.6107 < 2.2e-16 ***      
                iis639         9.3871e+01  1.1039e+01   8.5033 < 2.2e-16 ***      
                iis640         1.2315e+02  1.1016e+01  11.1790 < 2.2e-16 ***      
                iis643        -9.6147e+01  1.1014e+01  -8.7294 < 2.2e-16 ***      
                iis645         1.6978e+02  1.3502e+01  12.5741 < 2.2e-16 ***      
                iis646        -1.8982e+02  1.3550e+01 -14.0088 < 2.2e-16 ***      
                iis648        -1.7270e+02  1.3495e+01 -12.7972 < 2.2e-16 ***      
                iis1094        7.0689e+01  1.0670e+01   6.6253 5.488e-11 ***      
                iis1138       -1.0294e+02  1.5793e+01  -6.5181 1.096e-10 ***      
                iis1139        7.2831e+01  1.5384e+01   4.7341 2.496e-06 ***      
                iis1140        3.0824e+01  1.4525e+01   2.1221 0.0340606 *        
                iis1141        2.4311e+02  1.4080e+01  17.2669 < 2.2e-16 ***      
                iis1142        1.0258e+02  1.3552e+01   7.5690 8.115e-14 ***      
                iis1145       -9.6218e+01  1.1686e+01  -8.2335 5.274e-16 ***      
                iis1147       -2.0813e+02  1.3556e+01 -15.3534 < 2.2e-16 ***      
                iis1149       -1.2441e+02  1.3690e+01  -9.0877 < 2.2e-16 ***      
                iis1150       -1.8603e+02  1.3556e+01 -13.7231 < 2.2e-16 ***      
                iis1152       -1.7352e+02  1.3493e+01 -12.8597 < 2.2e-16 ***      
                fesisCHN.2009  4.8772e+01  5.0302e+00   9.6958 < 2.2e-16 ***      
                fesisDEU.2007  6.9802e+01  1.0941e+01   6.3801 2.634e-10 ***      
                fesisDEU.2012 -8.9958e+01  1.0981e+01  -8.1925 7.271e-16 ***      
                fesisJPN.2016  7.6698e+01  1.0241e+01   7.4896 1.446e-13 ***      
                fesisJPN.2017 -1.1358e+02  1.1841e+01  -9.5923 < 2.2e-16 ***      
                fesisKOR.2007  6.8367e+01  7.9203e+00   8.6318 < 2.2e-16 ***      
                fesisKOR.2016  6.4993e+01  1.1022e+01   5.8967 4.973e-09 ***      
                fesisTWN.2007  5.5049e+01  5.6687e+00   9.7111 < 2.2e-16 ***      
                fesisTWN.2012 -5.8985e+01  5.8453e+00 -10.0910 < 2.2e-16 ***      
                fesisUSA.2005  2.0677e+02  1.3509e+01  15.3053 < 2.2e-16 ***      
                fesisUSA.2011 -1.4908e+02  1.1722e+01 -12.7177 < 2.2e-16 ***      
                fesisUSA.2014  7.7470e+01  1.2059e+01   6.4243 1.993e-10 ***      
                fesisUSA.2016 -5.0719e+01  1.3622e+01  -3.7234 0.0002069 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                    Chi-sq df   p-value          
                Ljung-Box AR(1)    0.38932  1    0.5327          
                Ljung-Box ARCH(1) 38.48708  1 5.512e-10 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression     9.43875      
                R-squared            0.99734      
                Log-lik.(n=1200) -4329.51398      

Log Count

0.01

                Formula: log_count~ lgdp + lpop      
                top_50 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Tue Jan  9 19:37:33 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 1200       
                Sample: 1 to 1200       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error  t-stat   p-value          
                ar1             0.370937   0.024400 15.2025 < 2.2e-16 ***      
                lgdp            0.507920   0.132126  3.8442 0.0001279 ***      
                lpop            0.760651   0.289772  2.6250 0.0087856 **       
                idAUS           1.958833   0.295235  6.6348 5.097e-11 ***      
                idAUT           3.093485   0.459942  6.7258 2.807e-11 ***      
                idBEL           2.669570   0.394222  6.7717 2.072e-11 ***      
                idBGR           2.402970   0.477453  5.0329 5.644e-07 ***      
                idBRA          -1.712472   0.443934 -3.8575 0.0001212 ***      
                idCAN           1.483263   0.220267  6.7339 2.661e-11 ***      
                idCHE           3.183470   0.505083  6.3029 4.228e-10 ***      
                idCHL          -2.033015   0.851456 -2.3877 0.0171233 *        
                idCHN          -3.059876   0.963861 -3.1746 0.0015423 **       
                idCZE           0.422004   0.550674  0.7663 0.4436388          
                idDEU           1.835711   0.277216  6.6220 5.543e-11 ***      
                idDNK           1.113122   0.686506  1.6214 0.1052129          
                idESP           1.397127   0.154268  9.0565 < 2.2e-16 ***      
                idFIN           2.991813   0.568285  5.2646 1.690e-07 ***      
                idFRA           1.343979   0.219819  6.1140 1.349e-09 ***      
                idGBR           1.296691   0.205753  6.3022 4.246e-10 ***      
                idGRC           2.140249   0.377169  5.6745 1.780e-08 ***      
                idHKG           1.224633   0.603440  2.0294 0.0426572 *        
                idHUN          -0.469772   0.776255 -0.6052 0.5451869          
                idIND          -3.651845   0.959133 -3.8074 0.0001482 ***      
                idIRL           2.868023   0.624843  4.5900 4.945e-06 ***      
                idIRN          -5.410734   1.256296 -4.3069 1.804e-05 ***      
                idISR           2.796896   0.541489  5.1652 2.852e-07 ***      
                idITA           1.220081   0.197401  6.1807 8.987e-10 ***      
                idJPN          -0.631575   0.835589 -0.7558 0.4499057          
                idKOR          -2.179090   0.986616 -2.2087 0.0274054 *        
                idLUX           4.984341   1.221393  4.0809 4.813e-05 ***      
                idMEX          -2.131175   0.436469 -4.8828 1.202e-06 ***      
                idMYS           0.440711   0.188809  2.3342 0.0197670 *        
                idNLD           2.538942   0.304028  8.3510 < 2.2e-16 ***      
                idNOR           1.660882   0.728435  2.2801 0.0227952 *        
                idNZL           2.570715   0.629621  4.0830 4.770e-05 ***      
                idPHL          -1.618105   0.378398 -4.2762 2.067e-05 ***      
                idPOL           0.249971   0.174651  1.4313 0.1526397          
                idPRT           2.202679   0.389370  5.6570 1.965e-08 ***      
                idROU           1.022098   0.218339  4.6812 3.208e-06 ***      
                idRUS          -2.455513   0.612074 -4.0118 6.435e-05 ***      
                idSAU          -0.083202   0.285485 -0.2914 0.7707690          
                idSGP           2.941282   0.610375  4.8188 1.647e-06 ***      
                idSVK           2.939272   0.564308  5.2086 2.272e-07 ***      
                idSVN           3.780989   0.817628  4.6243 4.206e-06 ***      
                idSWE           1.510572   0.573640  2.6333 0.0085748 **       
                idTHA          -1.207269   0.341556 -3.5346 0.0004254 ***      
                idTUR          -0.156445   0.200647 -0.7797 0.4357358          
                idTWN           1.868129   0.271299  6.8859 9.661e-12 ***      
                idUKR          -0.592969   0.214580 -2.7634 0.0058163 **       
                idUSA           0.304068   0.597878  0.5086 0.6111494          
                idVNM          -4.282403   1.016847 -4.2115 2.746e-05 ***      
                idZAF          -0.372390   0.260411 -1.4300 0.1530003          
                time1996      -27.235949   5.008908 -5.4375 6.661e-08 ***      
                time1997      -27.284279   5.011709 -5.4441 6.424e-08 ***      
                time1998      -27.272446   5.014056 -5.4392 6.599e-08 ***      
                time1999      -27.114613   5.017216 -5.4043 7.981e-08 ***      
                time2000      -27.193959   5.020373 -5.4167 7.460e-08 ***      
                time2001      -27.160790   5.023080 -5.4072 7.856e-08 ***      
                time2002      -27.172116   5.025457 -5.4069 7.870e-08 ***      
                time2003      -26.949948   5.028415 -5.3595 1.017e-07 ***      
                time2004      -27.126165   5.030162 -5.3927 8.500e-08 ***      
                time2005      -26.974957   5.034204 -5.3583 1.024e-07 ***      
                time2006      -26.695114   5.037897 -5.2989 1.408e-07 ***      
                time2007      -26.554326   5.039303 -5.2694 1.647e-07 ***      
                time2008      -26.397577   5.041176 -5.2364 1.962e-07 ***      
                time2009      -26.204036   5.040012 -5.1992 2.387e-07 ***      
                time2010      -26.263195   5.041585 -5.2093 2.263e-07 ***      
                time2011      -26.413215   5.044042 -5.2365 1.961e-07 ***      
                time2012      -26.388773   5.046405 -5.2292 2.038e-07 ***      
                time2013      -26.688415   5.048712 -5.2862 1.507e-07 ***      
                time2014      -26.579518   5.052333 -5.2608 1.724e-07 ***      
                time2015      -26.624575   5.055721 -5.2662 1.676e-07 ***      
                time2016      -26.713289   5.057837 -5.2816 1.544e-07 ***      
                time2017      -26.684079   5.061058 -5.2724 1.621e-07 ***      
                time2018      -26.885091   5.063722 -5.3094 1.332e-07 ***      
                time2019      -26.992210   5.066917 -5.3271 1.211e-07 ***      
                iis15          -1.441602   0.449760 -3.2053 0.0013883 **       
                iis146         -1.504031   0.450173 -3.3410 0.0008629 ***      
                iis148         -1.465872   0.450392 -3.2547 0.0011700 **       
                iis260         -1.468283   0.449791 -3.2644 0.0011310 **       
                iis469         -1.907393   0.450285 -4.2360 2.467e-05 ***      
                iis476         -1.370728   0.450632 -3.0418 0.0024077 **       
                iis579         -1.815014   0.450785 -4.0263 6.055e-05 ***      
                iis651          1.657484   0.458225  3.6172 0.0003114 ***      
                iis769          1.684031   0.450355  3.7393 0.0001941 ***      
                iis779          1.878510   0.450588  4.1690 3.301e-05 ***      
                iis852         -1.803144   0.449761 -4.0091 6.508e-05 ***      
                iis927         -1.239884   0.458792 -2.7025 0.0069885 **       
                iis947         -1.793859   0.450617 -3.9809 7.318e-05 ***      
                iis974         -1.557000   0.449812 -3.4614 0.0005580 ***      
                iis1000        -1.466763   0.450117 -3.2586 0.0011540 **       
                iis1008         1.218976   0.450650  2.7049 0.0069380 **       
                iis1049        -1.256502   0.459652 -2.7336 0.0063657 **       
                iis1081        -1.291377   0.471315 -2.7399 0.0062448 **       
                iis1084        -1.486392   0.470749 -3.1575 0.0016347 **       
                fesisCHN.2004   1.159250   0.222064  5.2203 2.136e-07 ***      
                fesisDNK.2001   0.856086   0.223500  3.8304 0.0001352 ***      
                fesisKOR.2003   1.410651   0.205832  6.8534 1.201e-11 ***      
                fesisLUX.2009  -0.675637   0.190590 -3.5450 0.0004092 ***      
                fesisPHL.2007  -0.756347   0.187273 -4.0387 5.749e-05 ***      
                fesisSAU.2011   0.804446   0.202330  3.9759 7.471e-05 ***      
                fesisTHA.2008  -0.513773   0.185348 -2.7719 0.0056669 **       
                fesisTWN.2005   0.928517   0.208387  4.4557 9.219e-06 ***      
                fesisVNM.2004  -0.819445   0.199435 -4.1088 4.273e-05 ***      
                fesisZAF.2016  -0.840557   0.242549 -3.4655 0.0005497 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    6.9345  1  0.008455 **       
                Ljung-Box ARCH(1) 24.6476  1 6.883e-07 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.43564      
                R-squared           0.94682      
                Log-lik.(n=1200) -653.08957      
0.05

                Formula: log_count~ lgdp + lpop      
                top_50 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Tue Jan  9 19:37:20 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 1200       
                Sample: 1 to 1200       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error  t-stat   p-value          
                ar1             0.379235   0.022609 16.7738 < 2.2e-16 ***      
                lgdp            0.607966   0.127288  4.7763 2.042e-06 ***      
                lpop            0.299851   0.279954  1.0711 0.2843858          
                idAUS           1.347961   0.286274  4.7086 2.832e-06 ***      
                idAUT           2.259978   0.435624  5.1879 2.558e-07 ***      
                idBEL           1.889559   0.373194  5.0632 4.877e-07 ***      
                idBGR           1.769553   0.434844  4.0694 5.072e-05 ***      
                idBRA          -1.497222   0.422999 -3.5395 0.0004186 ***      
                idCAN           1.065471   0.213078  5.0004 6.716e-07 ***      
                idCHE           2.198381   0.483466  4.5471 6.080e-06 ***      
                idCHL          -3.159319   0.828987 -3.8111 0.0001465 ***      
                idCHN          -2.023201   0.908365 -2.2273 0.0261414 *        
                idCZE           0.425630   0.642840  0.6621 0.5080481          
                idDEU           1.768815   0.261064  6.7754 2.077e-11 ***      
                idDNK          -0.143152   0.662896 -0.2159 0.8290696          
                idESP           0.805229   0.199486  4.0365 5.824e-05 ***      
                idFIN           2.056697   0.537925  3.8234 0.0001395 ***      
                idFRA           0.628541   0.260777  2.4103 0.0161143 *        
                idGBR           1.161380   0.195628  5.9367 3.964e-09 ***      
                idGRC           0.807051   0.373555  2.1605 0.0309658 *        
                idHKG           0.084031   0.586786  0.1432 0.8861554          
                idHUN          -1.664036   0.760736 -2.1874 0.0289360 *        
                idIND          -2.785917   0.897479 -3.1042 0.0019600 **       
                idIRL           1.700066   0.591799  2.8727 0.0041527 **       
                idIRN          -6.437920   1.204231 -5.3461 1.105e-07 ***      
                idISR           1.743887   0.521915  3.3413 0.0008636 ***      
                idITA           1.066967   0.188154  5.6707 1.844e-08 ***      
                idJPN          -1.025096   0.791991 -1.2943 0.1958403          
                idKOR          -3.067418   0.948505 -3.2339 0.0012595 **       
                idLUX           3.012509   1.157103  2.6035 0.0093598 **       
                idMEX          -2.150765   0.410093 -5.2446 1.899e-07 ***      
                idMYS           0.018074   0.182671  0.0989 0.9212034          
                idNLD           2.884651   0.463677  6.2213 7.146e-10 ***      
                idNOR           0.366027   0.708936  0.5163 0.6057517          
                idNZL           1.679192   0.617145  2.7209 0.0066194 **       
                idPHL          -1.741734   0.356419 -4.8868 1.187e-06 ***      
                idPOL          -0.107998   0.171369 -0.6302 0.5286967          
                idPRT           1.446249   0.364629  3.9664 7.800e-05 ***      
                idROU           0.632503   0.204542  3.0923 0.0020393 **       
                idRUS          -2.551947   0.574739 -4.4402 9.952e-06 ***      
                idSAU          -0.458708   0.292193 -1.5699 0.1167490          
                idSGP           1.814473   0.580436  3.1261 0.0018210 **       
                idSVK           2.166131   0.522715  4.1440 3.691e-05 ***      
                idSVN           2.678542   0.763210  3.5096 0.0004681 ***      
                idSWE           0.439855   0.560426  0.7849 0.4327163          
                idTHA          -1.620398   0.321231 -5.0443 5.371e-07 ***      
                idTUR          -0.156390   0.195426 -0.8003 0.4237485          
                idTWN           1.363200   0.253823  5.3707 9.683e-08 ***      
                idUKR          -0.816062   0.207244 -3.9377 8.777e-05 ***      
                idUSA           0.706949   0.559924  1.2626 0.2070241          
                idVNM          -4.956273   0.968573 -5.1171 3.696e-07 ***      
                idZAF          -0.699669   0.250239 -2.7960 0.0052695 **       
                time1996      -21.630207   4.642928 -4.6587 3.595e-06 ***      
                time1997      -21.765013   4.645856 -4.6848 3.175e-06 ***      
                time1998      -21.674293   4.648216 -4.6629 3.524e-06 ***      
                time1999      -21.562034   4.650955 -4.6360 4.004e-06 ***      
                time2000      -21.599083   4.653899 -4.6411 3.910e-06 ***      
                time2001      -21.636685   4.656797 -4.6463 3.815e-06 ***      
                time2002      -21.594339   4.658835 -4.6351 4.022e-06 ***      
                time2003      -21.439943   4.661579 -4.5993 4.763e-06 ***      
                time2004      -21.595561   4.663706 -4.6306 4.110e-06 ***      
                time2005      -21.411016   4.667101 -4.5876 5.031e-06 ***      
                time2006      -21.157637   4.668799 -4.5317 6.532e-06 ***      
                time2007      -21.004468   4.670760 -4.4970 7.669e-06 ***      
                time2008      -20.842127   4.672284 -4.4608 9.057e-06 ***      
                time2009      -20.603684   4.672663 -4.4094 1.145e-05 ***      
                time2010      -20.757278   4.673879 -4.4411 9.910e-06 ***      
                time2011      -20.864834   4.675736 -4.4624 8.993e-06 ***      
                time2012      -20.842362   4.678147 -4.4553 9.290e-06 ***      
                time2013      -21.144217   4.680741 -4.5173 6.984e-06 ***      
                time2014      -21.039964   4.683939 -4.4919 7.851e-06 ***      
                time2015      -21.148821   4.687219 -4.5120 7.156e-06 ***      
                time2016      -21.171546   4.689324 -4.5148 7.063e-06 ***      
                time2017      -21.099362   4.691826 -4.4970 7.668e-06 ***      
                time2018      -21.302044   4.693798 -4.5383 6.334e-06 ***      
                time2019      -21.404799   4.697736 -4.5564 5.823e-06 ***      
                iis15          -1.093285   0.397518 -2.7503 0.0060582 **       
                iis51          -1.167208   0.385019 -3.0316 0.0024934 **       
                iis118         -0.870840   0.435042 -2.0017 0.0455732 *        
                iis135         -0.937611   0.387474 -2.4198 0.0157003 *        
                iis146         -1.480254   0.385380 -3.8410 0.0001300 ***      
                iis148         -1.479835   0.385335 -3.8404 0.0001303 ***      
                iis208         -1.252168   0.388342 -3.2244 0.0013018 **       
                iis260         -1.357601   0.385324 -3.5233 0.0004449 ***      
                iis319         -0.921746   0.406719 -2.2663 0.0236388 *        
                iis338         -1.103448   0.385606 -2.8616 0.0043000 **       
                iis341         -1.254882   0.385073 -3.2588 0.0011552 **       
                iis410          1.795596   0.412675  4.3511 1.488e-05 ***      
                iis414          1.572052   0.412517  3.8109 0.0001466 ***      
                iis416          0.948252   0.394079  2.4062 0.0162917 *        
                iis431          1.749379   0.462118  3.7856 0.0001622 ***      
                iis466         -1.009610   0.385453 -2.6193 0.0089403 **       
                iis469         -1.970692   0.385567 -5.1112 3.811e-07 ***      
                iis476         -1.367125   0.386181 -3.5401 0.0004177 ***      
                iis516          1.068341   0.384721  2.7769 0.0055866 **       
                iis579         -1.857288   0.385819 -4.8139 1.700e-06 ***      
                iis651          1.584450   0.393244  4.0292 6.006e-05 ***      
                iis662         -1.054432   0.394258 -2.6745 0.0076026 **       
                iis695         -1.125088   0.385471 -2.9187 0.0035905 **       
                iis721         -2.207351   0.532732 -4.1435 3.700e-05 ***      
                iis751         -1.190386   0.384823 -3.0933 0.0020322 **       
                iis769          1.366434   0.399545  3.4200 0.0006507 ***      
                iis779          2.292922   0.413136  5.5500 3.627e-08 ***      
                iis785         -0.910110   0.402901 -2.2589 0.0240973 *        
                iis790         -1.105049   0.402632 -2.7446 0.0061639 **       
                iis814         -0.784676   0.391408 -2.0047 0.0452496 *        
                iis820          1.011308   0.385542  2.6231 0.0088419 **       
                iis852         -1.757855   0.385136 -4.5642 5.613e-06 ***      
                iis853          1.059517   0.386708  2.7398 0.0062526 **       
                iis883         -1.168499   0.385693 -3.0296 0.0025094 **       
                iis895          0.980934   0.385754  2.5429 0.0111382 *        
                iis912         -0.970105   0.386072 -2.5128 0.0121302 *        
                iis947         -1.806491   0.385439 -4.6868 3.144e-06 ***      
                iis975          1.335877   0.404398  3.3034 0.0009880 ***      
                iis980          1.100474   0.402983  2.7308 0.0064250 **       
                iis984         -1.007023   0.402742 -2.5004 0.0125583 *        
                iis1000        -1.668171   0.388121 -4.2981 1.885e-05 ***      
                iis1008         1.677424   0.406778  4.1237 4.027e-05 ***      
                iis1043         1.171543   0.385888  3.0360 0.0024576 **       
                iis1046        -1.250927   0.385832 -3.2422 0.0012242 **       
                iis1049        -1.579318   0.385850 -4.0931 4.588e-05 ***      
                iis1055        -1.154841   0.386331 -2.9892 0.0028626 **       
                iis1081        -1.330557   0.403437 -3.2981 0.0010067 **       
                iis1084        -1.492845   0.402613 -3.7079 0.0002201 ***      
                iis1116        -1.120312   0.385780 -2.9040 0.0037623 **       
                iis1129        -1.172342   0.385373 -3.0421 0.0024085 **       
                iis1166        -0.950494   0.389833 -2.4382 0.0149274 *        
                iis1175        -0.881864   0.391187 -2.2543 0.0243837 *        
                iis1178         0.889381   0.386698  2.2999 0.0216500 *        
                iis1197        -0.884220   0.436186 -2.0272 0.0429012 *        
                fesisARG.2010  -0.515763   0.163371 -3.1570 0.0016401 **       
                fesisBGR.2013  -0.828504   0.284265 -2.9145 0.0036387 **       
                fesisBGR.2015   1.751553   0.462086  3.7905 0.0001590 ***      
                fesisBGR.2016  -1.293626   0.435339 -2.9715 0.0030316 **       
                fesisBRA.2014   0.648892   0.180134  3.6023 0.0003304 ***      
                fesisCHL.2013   0.465211   0.194281  2.3945 0.0168186 *        
                fesisCHL.2018  -1.270231   0.315564 -4.0253 6.105e-05 ***      
                fesisCHN.2004   0.768453   0.213544  3.5986 0.0003351 ***      
                fesisCHN.2010   0.468297   0.207986  2.2516 0.0245579 *        
                fesisCZE.1997  -1.068419   0.385710 -2.7700 0.0057058 **       
                fesisDNK.2001   0.871219   0.191874  4.5406 6.268e-06 ***      
                fesisESP.2003   0.562873   0.180619  3.1164 0.0018814 **       
                fesisFRA.2001   0.727977   0.192362  3.7844 0.0001629 ***      
                fesisGRC.2003   0.730510   0.204047  3.5801 0.0003594 ***      
                fesisGRC.2015  -0.919965   0.395187 -2.3279 0.0201079 *        
                fesisGRC.2016   1.365829   0.533372  2.5607 0.0105856 *        
                fesisGRC.2017  -1.359424   0.461678 -2.9445 0.0033067 **       
                fesisIRN.2014   0.904725   0.281899  3.2094 0.0013710 **       
                fesisIRN.2016  -1.479744   0.462402 -3.2001 0.0014154 **       
                fesisIRN.2017   1.097807   0.435166  2.5227 0.0117935 *        
                fesisKOR.2003   1.379845   0.177856  7.7582 2.055e-14 ***      
                fesisLUX.2008  -0.519302   0.167789 -3.0950 0.0020212 **       
                fesisNLD.1998  -0.977954   0.387125 -2.5262 0.0116785 *        
                fesisNZL.2005  -0.644640   0.215193 -2.9956 0.0028039 **       
                fesisNZL.2011   0.626376   0.221636  2.8261 0.0048017 **       
                fesisPHL.2006  -0.632366   0.164367 -3.8473 0.0001267 ***      
                fesisSAU.2006  -0.756785   0.213333 -3.5474 0.0004064 ***      
                fesisSAU.2011   1.484818   0.215419  6.8927 9.496e-12 ***      
                fesisSVK.2008  -1.283300   0.288812 -4.4434 9.808e-06 ***      
                fesisSVK.2010   0.934870   0.302211  3.0934 0.0020316 **       
                fesisSVN.2013  -0.692919   0.182062 -3.8060 0.0001495 ***      
                fesisTWN.2005   0.895514   0.179421  4.9911 7.038e-07 ***      
                fesisVNM.2004  -0.716961   0.175132 -4.0938 4.573e-05 ***      
                fesisZAF.2016  -0.562379   0.236411 -2.3788 0.0175486 *        
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    6.4893  1   0.01085 *        
                Ljung-Box ARCH(1) 20.9543  1 4.704e-06 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.37245      
                R-squared           0.96322      
                Log-lik.(n=1200) -435.54377      

WIND

oecd

Count

0.01

                Formula: count~ gdp + pop      
                oecd (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Tue Jan  9 19:40:25 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 936       
                Sample: 1 to 936       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            8.3857e-01  1.1549e-02  72.6109 < 2.2e-16 ***      
                gdp            1.9664e-15  2.7815e-15   0.7070 0.4797812          
                pop            1.5627e-07  1.9647e-08   7.9538 5.876e-15 ***      
                idAUT          2.2684e+00  1.4688e+00   1.5444 0.1228675          
                idBEL          1.4764e+00  1.4611e+00   1.0105 0.3125391          
                idCAN         -5.8294e-01  1.4633e+00  -0.3984 0.6904583          
                idCHE          1.9538e+00  1.4702e+00   1.3289 0.1842305          
                idCHL         -7.4447e-01  1.4995e+00  -0.4965 0.6196934          
                idCHN         -1.9221e+02  2.5431e+01  -7.5580 1.078e-13 ***      
                idCOL         -5.8350e+00  2.2815e+00  -2.5576 0.0107154 *        
                idCRI          1.3258e+00  1.4824e+00   0.8944 0.3713751          
                idCZE          4.9973e-01  1.4608e+00   0.3421 0.7323603          
                idDEU          6.1716e+00  2.2491e+00   2.7441 0.0061987 **       
                idDNK          6.1182e+00  1.9276e+00   3.1740 0.0015589 **       
                idESP          1.5328e+00  1.7095e+00   0.8967 0.3701630          
                idEST          1.8764e+00  1.4944e+00   1.2556 0.2096230          
                idFIN          1.8618e+00  1.4785e+00   1.2593 0.2082837          
                idFRA         -4.2167e+00  1.6531e+00  -2.5507 0.0109278 *        
                idGRC          6.4769e-01  1.4594e+00   0.4438 0.6573020          
                idHUN          6.2317e-01  1.4645e+00   0.4255 0.6705613          
                idIRL          1.6545e+00  1.4818e+00   1.1165 0.2645243          
                idISL          2.0787e+00  1.4997e+00   1.3861 0.1660864          
                idISR          1.7254e+00  1.4714e+00   1.1727 0.2412661          
                idITA         -4.2913e+00  1.6112e+00  -2.6634 0.0078839 **       
                idJPN         -5.3108e+00  2.8375e+00  -1.8716 0.0616109 .        
                idKOR         -3.2760e+00  3.8478e+00  -0.8514 0.3947939          
                idLTU          1.6207e+00  1.4859e+00   1.0907 0.2757181          
                idLUX          2.0920e+00  1.4988e+00   1.3957 0.1631656          
                idLVA          1.7703e+00  1.4906e+00   1.1876 0.2353109          
                idMEX         -1.4815e+01  2.2650e+00  -6.5409 1.065e-10 ***      
                idNLD          3.1315e+00  1.4572e+00   2.1490 0.0319179 *        
                idNOR          3.2944e+00  1.4831e+00   2.2212 0.0266026 *        
                idNZL          1.7960e+00  1.4819e+00   1.2120 0.2258639          
                idPOL         -3.2591e+00  1.4877e+00  -2.1907 0.0287502 *        
                idPRT          7.2364e-01  1.4607e+00   0.4954 0.6204423          
                idSVK          1.3393e+00  1.4768e+00   0.9069 0.3647316          
                idSVN          1.7831e+00  1.4912e+00   1.1957 0.2321532          
                idSWE          1.9134e+00  1.4669e+00   1.3044 0.1924579          
                idTUR         -8.5434e+00  1.7594e+00  -4.8560 1.430e-06 ***      
                idTWN          4.8617e-01  1.4468e+00   0.3360 0.7369310          
                idUSA         -3.4713e+01  5.4992e+00  -6.3123 4.461e-10 ***      
                time1996      -3.1140e+00  1.3351e+00  -2.3324 0.0199177 *        
                time1997      -3.5851e+00  1.3372e+00  -2.6811 0.0074833 **       
                time1998      -2.8284e+00  1.3400e+00  -2.1107 0.0350962 *        
                time1999      -1.9581e+00  1.3416e+00  -1.4595 0.1448003          
                time2000      -2.6452e+00  1.3422e+00  -1.9708 0.0490751 *        
                time2001      -1.3199e+00  1.3439e+00  -0.9822 0.3262977          
                time2002      -2.7788e+00  1.3445e+00  -2.0668 0.0390594 *        
                time2003      -2.0019e+00  1.3465e+00  -1.4868 0.1374583          
                time2004      -3.2237e+00  1.3482e+00  -2.3912 0.0170163 *        
                time2005      -2.4015e+00  1.3501e+00  -1.7787 0.0756472 .        
                time2006      -1.1165e+00  1.3620e+00  -0.8197 0.4126102          
                time2007      -5.0626e-01  1.3657e+00  -0.3707 0.7109561          
                time2008       5.5608e-01  1.3706e+00   0.4057 0.6850511          
                time2009       1.1063e+00  1.3686e+00   0.8083 0.4191364          
                time2010      -1.1546e+00  1.3806e+00  -0.8363 0.4032380          
                time2011      -9.3820e-01  1.3771e+00  -0.6813 0.4958834          
                time2012      -3.8583e+00  1.3807e+00  -2.7944 0.0053181 **       
                time2013      -3.7918e+00  1.3811e+00  -2.7454 0.0061732 **       
                time2014      -2.6170e+00  1.3745e+00  -1.9040 0.0572565 .        
                time2015      -3.2398e+00  1.3739e+00  -2.3581 0.0185976 *        
                time2016      -1.8989e+00  1.3894e+00  -1.3667 0.1720823          
                time2017      -7.7461e-01  1.3852e+00  -0.5592 0.5761782          
                time2018      -3.3373e+00  1.3981e+00  -2.3869 0.0172123 *        
                time2019      -2.1869e+00  1.3979e+00  -1.5645 0.1180880          
                iis253         2.9697e+01  5.6891e+00   5.2200 2.261e-07 ***      
                iis255         9.3531e+01  5.6960e+00  16.4204 < 2.2e-16 ***      
                iis258        -8.1133e+01  5.7201e+00 -14.1839 < 2.2e-16 ***      
                iis261         5.9891e+01  5.7165e+00  10.4770 < 2.2e-16 ***      
                iis263         4.4415e+01  5.6811e+00   7.8181 1.616e-14 ***      
                iis264        -4.2965e+01  5.6860e+00  -7.5564 1.091e-13 ***      
                iis276         3.0678e+01  5.9944e+00   5.1178 3.840e-07 ***      
                iis277         4.9029e+01  5.8863e+00   8.3293 3.320e-16 ***      
                iis279         5.8406e+01  5.8929e+00   9.9112 < 2.2e-16 ***      
                iis281        -5.3410e+01  6.0002e+00  -8.9013 < 2.2e-16 ***      
                iis282        -4.9657e+01  5.8824e+00  -8.4417 < 2.2e-16 ***      
                iis285         4.7434e+01  5.8658e+00   8.0866 2.155e-15 ***      
                iis287         4.6307e+01  5.8791e+00   7.8765 1.047e-14 ***      
                iis288        -3.5593e+01  5.9315e+00  -6.0008 2.926e-09 ***      
                iis304         3.9953e+01  5.4343e+00   7.3521 4.661e-13 ***      
                iis305         4.4239e+01  5.4342e+00   8.1407 1.426e-15 ***      
                iis543         6.4929e+01  5.2230e+00  12.4312 < 2.2e-16 ***      
                iis551        -2.6136e+01  5.8657e+00  -4.4558 9.500e-06 ***      
                iis566         4.1113e+01  5.1903e+00   7.9210 7.516e-15 ***      
                iis924         1.1355e+02  6.2850e+00  18.0669 < 2.2e-16 ***      
                iis925         8.2675e+01  6.2384e+00  13.2525 < 2.2e-16 ***      
                iis926         1.3844e+02  6.3093e+00  21.9420 < 2.2e-16 ***      
                iis927         5.5093e+01  6.6203e+00   8.3218 3.521e-16 ***      
                iis928        -3.1922e+01  6.6031e+00  -4.8344 1.590e-06 ***      
                iis929        -2.1312e+01  6.3595e+00  -3.3512 0.0008407 ***      
                iis930         6.2524e+01  6.2559e+00   9.9943 < 2.2e-16 ***      
                iis931        -4.9526e+01  6.3125e+00  -7.8457 1.317e-14 ***      
                iis934         9.2302e+01  6.2267e+00  14.8235 < 2.2e-16 ***      
                fesisDEU.2006  3.6668e+01  3.3421e+00  10.9714 < 2.2e-16 ***      
                fesisDEU.2012 -2.8521e+01  3.6483e+00  -7.8178 1.619e-14 ***      
                fesisDNK.2006  4.1529e+01  3.7916e+00  10.9528 < 2.2e-16 ***      
                fesisDNK.2012 -1.7757e+01  4.1490e+00  -4.2797 2.088e-05 ***      
                fesisESP.2011 -8.7548e+00  2.3638e+00  -3.7037 0.0002265 ***      
                fesisJPN.2016 -1.1527e+01  3.1982e+00  -3.6041 0.0003318 ***      
                fesisUSA.2004  2.1274e+01  3.4804e+00   6.1126 1.504e-09 ***      
                fesisUSA.2007 -2.0924e+01  4.8036e+00  -4.3560 1.489e-05 ***      
                fesisUSA.2017 -2.6811e+01  5.0802e+00  -5.2776 1.670e-07 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                    Chi-sq df p-value          
                Ljung-Box AR(1)     1.3254  1  0.2496          
                Ljung-Box ARCH(1) 121.7849  1  <2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression     5.01036      
                R-squared            0.99135      
                Log-lik.(n=936)  -2785.49732      
0.05

                Formula: count~ gdp + pop      
                oecd (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Tue Jan  9 19:47:42 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 936       
                Sample: 1 to 936       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            7.9193e-01  1.3251e-02  59.7656 < 2.2e-16 ***      
                gdp            1.7449e-16  2.6287e-15   0.0664 0.9470914          
                pop            1.8731e-07  1.8134e-08  10.3296 < 2.2e-16 ***      
                idAUT          2.6650e+00  1.3049e+00   2.0423 0.0414351 *        
                idBEL          1.7808e+00  1.2974e+00   1.3726 0.1702482          
                idCAN         -5.7114e-01  1.2985e+00  -0.4398 0.6601660          
                idCHE          2.3115e+00  1.3058e+00   1.7702 0.0770568 .        
                idCHL         -6.4346e-01  1.3378e+00  -0.4810 0.6306615          
                idCHN         -2.3087e+02  2.3406e+01  -9.8639 < 2.2e-16 ***      
                idCOL         -5.7172e+00  2.1226e+00  -2.6935 0.0072134 **       
                idCRI          1.5902e+00  1.3157e+00   1.2086 0.2271578          
                idCZE          5.6148e-01  1.2962e+00   0.4332 0.6650020          
                idDEU          1.2859e+01  2.2017e+00   5.8406 7.483e-09 ***      
                idDNK          6.9379e+00  1.7175e+00   4.0396 5.854e-05 ***      
                idESP          1.3765e+00  1.5169e+00   0.9074 0.3644659          
                idEST          2.1991e+00  1.3269e+00   1.6573 0.0978442 .        
                idFIN          2.2327e+00  1.3132e+00   1.7002 0.0894736 .        
                idFRA         -4.9548e+00  1.4709e+00  -3.3685 0.0007908 ***      
                idGRC          7.3832e-01  1.2950e+00   0.5701 0.5687614          
                idHUN          7.7951e-01  1.2998e+00   0.5997 0.5488523          
                idIRL          1.9793e+00  1.3158e+00   1.5042 0.1329044          
                idISL          2.4377e+00  1.3317e+00   1.8305 0.0675344 .        
                idISR          2.0787e+00  1.3068e+00   1.5907 0.1120586          
                idITA         -5.1074e+00  1.4351e+00  -3.5588 0.0003939 ***      
                idJPN         -1.2813e+01  3.0356e+00  -4.2208 2.705e-05 ***      
                idKOR         -1.6671e+00  3.5350e+00  -0.4716 0.6373495          
                idLTU          1.8957e+00  1.3191e+00   1.4371 0.1510776          
                idLUX          2.4590e+00  1.3311e+00   1.8473 0.0650565 .        
                idLVA          2.0739e+00  1.3234e+00   1.5671 0.1174684          
                idMEX         -1.7774e+01  2.0686e+00  -8.5922 < 2.2e-16 ***      
                idNLD          3.7683e+00  1.2978e+00   2.9035 0.0037884 **       
                idNOR          3.8473e+00  1.3190e+00   2.9168 0.0036321 **       
                idNZL          2.1008e+00  1.3157e+00   1.5967 0.1107121          
                idPOL         -3.9675e+00  1.3253e+00  -2.9937 0.0028382 **       
                idPRT          8.1705e-01  1.2962e+00   0.6303 0.5286411          
                idSVK          1.5520e+00  1.3108e+00   1.1840 0.2367523          
                idSVN          2.0884e+00  1.3240e+00   1.5773 0.1150991          
                idSWE          2.3798e+00  1.3038e+00   1.8253 0.0683183 .        
                idTUR         -1.0300e+01  1.5871e+00  -6.4898 1.483e-10 ***      
                idTWN          5.6224e-01  1.2839e+00   0.4379 0.6615588          
                idUSA         -4.2205e+01  5.0335e+00  -8.3849 < 2.2e-16 ***      
                time1996      -3.7121e+00  1.1871e+00  -3.1270 0.0018282 **       
                time1997      -3.4817e+00  1.1925e+00  -2.9196 0.0036001 **       
                time1998      -3.4398e+00  1.1916e+00  -2.8867 0.0039948 **       
                time1999      -2.5439e+00  1.1928e+00  -2.1327 0.0332432 *        
                time2000      -3.1643e+00  1.1928e+00  -2.6529 0.0081343 **       
                time2001      -1.8151e+00  1.1941e+00  -1.5200 0.1288862          
                time2002      -3.1885e+00  1.1941e+00  -2.6701 0.0077311 **       
                time2003      -3.2742e+00  1.2015e+00  -2.7251 0.0065647 **       
                time2004      -2.7727e+00  1.2078e+00  -2.2956 0.0219489 *        
                time2005      -1.7759e+00  1.2093e+00  -1.4686 0.1423348          
                time2006      -1.5216e+00  1.2135e+00  -1.2540 0.2102092          
                time2007      -1.0698e+00  1.2148e+00  -0.8807 0.3787421          
                time2008       3.7587e-02  1.2183e+00   0.0309 0.9753948          
                time2009       7.3845e-01  1.2197e+00   0.6054 0.5450581          
                time2010      -1.1335e+00  1.2251e+00  -0.9252 0.3551445          
                time2011      -1.3890e+00  1.2273e+00  -1.1317 0.2580924          
                time2012      -3.8873e+00  1.2257e+00  -3.1714 0.0015731 **       
                time2013      -4.0073e+00  1.2261e+00  -3.2683 0.0011268 **       
                time2014      -3.0605e+00  1.2202e+00  -2.5082 0.0123258 *        
                time2015      -3.7247e+00  1.2200e+00  -3.0530 0.0023388 **       
                time2016      -2.2064e+00  1.2344e+00  -1.7875 0.0742314 .        
                time2017      -1.0711e+00  1.2291e+00  -0.8715 0.3837485          
                time2018      -3.3548e+00  1.2457e+00  -2.6930 0.0072255 **       
                time2019      -3.4067e+00  1.2493e+00  -2.7269 0.0065300 **       
                iis242        -2.7131e+01  4.8351e+00  -5.6113 2.744e-08 ***      
                iis249        -1.4291e+01  4.8621e+00  -2.9394 0.0033808 **       
                iis250        -2.0825e+01  4.8458e+00  -4.2976 1.932e-05 ***      
                iis253         3.3032e+01  5.2101e+00   6.3399 3.783e-10 ***      
                iis255         8.0872e+01  6.5441e+00  12.3579 < 2.2e-16 ***      
                iis258        -7.8318e+01  5.1018e+00 -15.3510 < 2.2e-16 ***      
                iis261         5.7021e+01  5.0951e+00  11.1914 < 2.2e-16 ***      
                iis263         4.3536e+01  5.0421e+00   8.6345 < 2.2e-16 ***      
                iis264        -4.1223e+01  5.0505e+00  -8.1622 1.227e-15 ***      
                iis276         4.2263e+01  5.1440e+00   8.2159 8.124e-16 ***      
                iis277         6.3770e+01  5.0419e+00  12.6482 < 2.2e-16 ***      
                iis278         2.1669e+01  5.1026e+00   4.2466 2.418e-05 ***      
                iis279         7.7111e+01  5.1446e+00  14.9887 < 2.2e-16 ***      
                iis280         2.6237e+01  5.3988e+00   4.8599 1.406e-06 ***      
                iis281        -4.9024e+01  5.4034e+00  -9.0726 < 2.2e-16 ***      
                iis282        -4.8579e+01  5.1400e+00  -9.4513 < 2.2e-16 ***      
                iis285         4.5857e+01  5.0484e+00   9.0835 < 2.2e-16 ***      
                iis287         4.6661e+01  5.1290e+00   9.0975 < 2.2e-16 ***      
                iis288        -3.2207e+01  5.2537e+00  -6.1303 1.359e-09 ***      
                iis304         3.9815e+01  4.8225e+00   8.2561 5.957e-16 ***      
                iis305         4.5085e+01  4.8247e+00   9.3446 < 2.2e-16 ***      
                iis536         5.2330e+01  5.5268e+00   9.4684 < 2.2e-16 ***      
                iis543         5.7375e+01  4.7539e+00  12.0690 < 2.2e-16 ***      
                iis551        -2.6527e+01  5.2066e+00  -5.0948 4.330e-07 ***      
                iis566         4.2740e+01  4.6139e+00   9.2633 < 2.2e-16 ***      
                iis924         1.1030e+02  5.6105e+00  19.6594 < 2.2e-16 ***      
                iis925         8.4409e+01  5.5433e+00  15.2274 < 2.2e-16 ***      
                iis926         1.4286e+02  5.6508e+00  25.2818 < 2.2e-16 ***      
                iis927         6.4146e+01  6.0991e+00  10.5172 < 2.2e-16 ***      
                iis928        -2.2167e+01  6.1234e+00  -3.6200 0.0003126 ***      
                iis929        -1.5830e+01  5.7272e+00  -2.7639 0.0058382 **       
                iis930         6.5331e+01  5.5736e+00  11.7217 < 2.2e-16 ***      
                iis931        -4.4977e+01  5.6570e+00  -7.9506 6.104e-15 ***      
                iis934         8.2790e+01  6.3740e+00  12.9888 < 2.2e-16 ***      
                iis935        -1.6134e+01  6.4227e+00  -2.5120 0.0121967 *        
                fesisDEU.2006  3.2063e+01  3.3161e+00   9.6688 < 2.2e-16 ***      
                fesisDEU.2010  1.8765e+01  5.8021e+00   3.2341 0.0012688 **       
                fesisDEU.2012 -4.0117e+01  5.1858e+00  -7.7359 2.998e-14 ***      
                fesisDNK.2006  3.2413e+01  3.1463e+00  10.3022 < 2.2e-16 ***      
                fesisESP.2011 -6.8779e+00  2.1203e+00  -3.2439 0.0012265 **       
                fesisJPN.2003 -1.8493e+01  3.6832e+00  -5.0209 6.304e-07 ***      
                fesisJPN.2006  3.4944e+01  3.5398e+00   9.8718 < 2.2e-16 ***      
                fesisJPN.2016 -1.7927e+01  3.0084e+00  -5.9591 3.756e-09 ***      
                fesisKOR.2019  2.1675e+01  4.8808e+00   4.4409 1.018e-05 ***      
                fesisUSA.2004  2.2405e+01  3.1145e+00   7.1940 1.415e-12 ***      
                fesisUSA.2007 -1.5439e+01  4.3461e+00  -3.5524 0.0004034 ***      
                fesisUSA.2017 -1.8483e+01  5.5331e+00  -3.3405 0.0008738 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                    Chi-sq df   p-value          
                Ljung-Box AR(1)    0.31544  1    0.5744          
                Ljung-Box ARCH(1) 58.78216  1 1.765e-14 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression     4.44585      
                R-squared            0.99327      
                Log-lik.(n=936)  -2668.61149      

Log Count

0.01

                Formula: log_count~ lgdp + lpop      
                oecd (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Tue Jan  9 19:55:08 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 936       
                Sample: 1 to 936       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1            0.442874  0.026899 16.4642 < 2.2e-16 ***      
                lgdp          -0.416717  0.151903 -2.7433 0.0062104 **       
                lpop           0.411323  0.290722  1.4148 0.1574840          
                idAUT         -0.172307  0.346227 -0.4977 0.6188442          
                idBEL         -0.273850  0.287318 -0.9531 0.3407966          
                idCAN          0.261148  0.175856  1.4850 0.1379120          
                idCHE         -0.019324  0.325498 -0.0594 0.9526726          
                idCHL          1.102424  0.703007  1.5682 0.1172167          
                idCHN         -1.049386  1.197733 -0.8761 0.3811993          
                idCOL          1.339405  0.892375  1.5009 0.1337409          
                idCRI          0.801999  0.684838  1.1711 0.2418952          
                idCZE         -0.148345  0.301611 -0.4918 0.6229570          
                idDEU          1.458992  0.409063  3.5667 0.0003817 ***      
                idDNK          1.501535  0.437111  3.4351 0.0006209 ***      
                idESP          0.330602  0.260956  1.2669 0.2055422          
                idEST         -1.674400  0.952727 -1.7575 0.0791953 .        
                idFIN         -0.573892  0.472042 -1.2158 0.2244118          
                idFRA          0.314347  0.336426  0.9344 0.3503781          
                idGRC         -1.153813  0.358074 -3.2223 0.0013201 **       
                idHUN          0.953433  0.557116  1.7114 0.0873766 .        
                idIRL         -0.816853  0.524353 -1.5578 0.1196456          
                idISL          0.948451  1.244726  0.7620 0.4462858          
                idISR          0.135055  0.330305  0.4089 0.6827312          
                idITA          0.051406  0.315825  0.1628 0.8707402          
                idJPN          1.692736  1.004817  1.6846 0.0924285 .        
                idKOR          2.258280  0.995073  2.2695 0.0234898 *        
                idLTU         -1.743804  0.742065 -2.3499 0.0190043 *        
                idLUX         -0.727696  1.123970 -0.6474 0.5175256          
                idLVA         -1.758327  0.847073 -2.0758 0.0382152 *        
                idMEX         -0.431665  0.539939 -0.7995 0.4242409          
                idNLD          0.284792  0.181586  1.5684 0.1171702          
                idNOR          0.974912  0.477579  2.0414 0.0415228 *        
                idNZL         -0.594034  0.521492 -1.1391 0.2549799          
                idPOL         -0.943027  0.241023 -3.9126 9.859e-05 ***      
                idPRT         -1.169061  0.371969 -3.1429 0.0017308 **       
                idSVK         -1.568739  0.581266 -2.6988 0.0070963 **       
                idSVN         -1.513725  0.810262 -1.8682 0.0620787 .        
                idSWE          0.865106  0.323329  2.6756 0.0076023 **       
                idTUR         -1.051411  0.388080 -2.7093 0.0068788 **       
                idTWN         -0.841284  0.203749 -4.1290 4.002e-05 ***      
                idUSA          0.736917  0.798316  0.9231 0.3562227          
                time1996       5.214713  5.764989  0.9045 0.3659605          
                time1997       5.172757  5.770490  0.8964 0.3702843          
                time1998       5.262686  5.774492  0.9114 0.3623597          
                time1999       5.542185  5.779123  0.9590 0.3378306          
                time2000       5.414308  5.785587  0.9358 0.3496278          
                time2001       5.640193  5.788935  0.9743 0.3301816          
                time2002       5.443154  5.792914  0.9396 0.3476777          
                time2003       5.478867  5.796708  0.9452 0.3448410          
                time2004       5.472720  5.799214  0.9437 0.3455907          
                time2005       5.636276  5.804252  0.9711 0.3317943          
                time2006       5.797995  5.810539  0.9978 0.3186400          
                time2007       5.995269  5.816473  1.0307 0.3029558          
                time2008       6.087321  5.819591  1.0460 0.2958558          
                time2009       6.115324  5.817925  1.0511 0.2935029          
                time2010       6.085413  5.821706  1.0453 0.2961824          
                time2011       6.040993  5.825007  1.0371 0.2999936          
                time2012       5.990460  5.827002  1.0281 0.3042176          
                time2013       5.868523  5.829670  1.0067 0.3143820          
                time2014       5.957545  5.832219  1.0215 0.3073133          
                time2015       5.777376  5.835200  0.9901 0.3224113          
                time2016       5.925041  5.839105  1.0147 0.3105290          
                time2017       5.947204  5.843360  1.0178 0.3090759          
                time2018       5.873380  5.846659  1.0046 0.3153893          
                time2019       5.789010  5.849721  0.9896 0.3226404          
                iis7           1.387714  0.434422  3.1944 0.0014528 **       
                iis31         -1.789469  0.433518 -4.1278 4.023e-05 ***      
                iis59         -1.687360  0.432697 -3.8996 0.0001039 ***      
                iis345         1.364421  0.433479  3.1476 0.0017035 **       
                iis363        -1.460351  0.433235 -3.3708 0.0007832 ***      
                iis426        -1.197034  0.433141 -2.7636 0.0058400 **       
                iis452         1.450287  0.433995  3.3417 0.0008689 ***      
                iis488        -1.408880  0.433441 -3.2505 0.0011975 **       
                iis508        -1.715077  0.433692 -3.9546 8.304e-05 ***      
                iis740        -1.304087  0.434113 -3.0040 0.0027424 **       
                iis743        -1.487673  0.434862 -3.4210 0.0006536 ***      
                iis744         1.253774  0.435576  2.8784 0.0040968 **       
                iis758        -1.911235  0.444692 -4.2979 1.924e-05 ***      
                fesisCHN.2004  2.009062  0.235280  8.5390 < 2.2e-16 ***      
                fesisDNK.2006  0.956903  0.182083  5.2553 1.869e-07 ***      
                fesisJPN.1999  1.367876  0.267138  5.1205 3.770e-07 ***      
                fesisKOR.2002  1.163142  0.208202  5.5866 3.116e-08 ***      
                fesisPOL.2009  0.708107  0.183800  3.8526 0.0001257 ***      
                fesisTWN.2003  0.955028  0.194556  4.9088 1.099e-06 ***      
                fesisUSA.2003  0.955500  0.197504  4.8379 1.558e-06 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df  p-value         
                Ljung-Box AR(1)   9.7019  1 0.001841 **      
                Ljung-Box ARCH(1) 8.9380  1 0.002793 **      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.41809      
                R-squared           0.93360      
                Log-lik.(n=936)  -469.36929      
0.05

                Formula: log_count~ lgdp + lpop      
                oecd (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Tue Jan  9 20:19:58 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 936       
                Sample: 1 to 936       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1            0.415721  0.025414 16.3580 < 2.2e-16 ***      
                lgdp          -0.310344  0.146680 -2.1158 0.0346656 *        
                lpop           0.346197  0.274148  1.2628 0.2070183          
                idAUT         -0.019590  0.332583 -0.0589 0.9530435          
                idBEL         -0.286046  0.275994 -1.0364 0.3003148          
                idCAN         -0.671701  0.294838 -2.2782 0.0229733 *        
                idCHE          0.014347  0.399210  0.0359 0.9713402          
                idCHL          0.565098  0.673909  0.8385 0.4019748          
                idCHN         -0.729351  1.144391 -0.6373 0.5240912          
                idCOL          0.703689  0.865277  0.8133 0.4163111          
                idCRI          0.590819  0.650235  0.9086 0.3638184          
                idCZE         -0.380703  0.280439 -1.3575 0.1749910          
                idDEU          1.557274  0.384777  4.0472 5.678e-05 ***      
                idDNK          0.654215  0.469846  1.3924 0.1641810          
                idESP         -0.128943  0.259354 -0.4972 0.6192040          
                idEST         -1.426417  0.921281 -1.5483 0.1219400          
                idFIN         -0.462840  0.453549 -1.0205 0.3078019          
                idFRA          0.375427  0.315141  1.1913 0.2338847          
                idGRC         -1.068840  0.346630 -3.0835 0.0021148 **       
                idHUN          0.531431  0.526497  1.0094 0.3130965          
                idIRL         -0.737456  0.505766 -1.4581 0.1451997          
                idISL          0.595968  1.171096  0.5089 0.6109616          
                idISR          0.185347  0.326193  0.5682 0.5700475          
                idITA          0.161258  0.295402  0.5459 0.5852889          
                idJPN          1.126520  0.973343  1.1574 0.2474601          
                idKOR          1.768519  0.965675  1.8314 0.0674094 .        
                idLTU         -1.457777  0.719354 -2.0265 0.0430386 *        
                idLUX         -0.642066  1.076213 -0.5966 0.5509423          
                idLVA         -1.539604  0.821377 -1.8744 0.0612313 .        
                idMEX         -0.607145  0.519530 -1.1686 0.2428901          
                idNLD          0.377033  0.169313  2.2268 0.0262312 *        
                idNOR          0.807719  0.446828  1.8077 0.0710270 .        
                idNZL         -0.515119  0.504934 -1.0202 0.3079508          
                idPOL         -0.922437  0.262607 -3.5126 0.0004682 ***      
                idPRT         -1.023734  0.358926 -2.8522 0.0044517 **       
                idSVK         -1.292392  0.564450 -2.2896 0.0222971 *        
                idSVN         -1.310614  0.781395 -1.6773 0.0938734 .        
                idSWE          0.766617  0.302076  2.5378 0.0113400 *        
                idTUR         -0.920521  0.363496 -2.5324 0.0115154 *        
                idTWN         -0.831271  0.182627 -4.5517 6.133e-06 ***      
                idUSA          0.820119  0.763750  1.0738 0.2832285          
                time1996       3.455809  5.586856  0.6186 0.5363792          
                time1997       3.433841  5.592410  0.6140 0.5393752          
                time1998       3.454144  5.595562  0.6173 0.5372094          
                time1999       3.693859  5.600761  0.6595 0.5097436          
                time2000       3.562179  5.607028  0.6353 0.5254075          
                time2001       3.765657  5.609811  0.6713 0.5022438          
                time2002       3.638676  5.614185  0.6481 0.5170891          
                time2003       3.617724  5.617757  0.6440 0.5197700          
                time2004       3.642494  5.620734  0.6480 0.5171382          
                time2005       3.784052  5.625814  0.6726 0.5013782          
                time2006       3.921950  5.630771  0.6965 0.4863018          
                time2007       4.129708  5.637110  0.7326 0.4640178          
                time2008       4.246327  5.639494  0.7530 0.4516906          
                time2009       4.291708  5.637892  0.7612 0.4467431          
                time2010       4.262171  5.641578  0.7555 0.4501723          
                time2011       4.239689  5.645141  0.7510 0.4528499          
                time2012       4.164628  5.646785  0.7375 0.4610178          
                time2013       4.069753  5.649389  0.7204 0.4714931          
                time2014       4.114132  5.650781  0.7281 0.4667838          
                time2015       3.883807  5.653226  0.6870 0.4922741          
                time2016       4.070472  5.656836  0.7196 0.4719984          
                time2017       4.118181  5.660118  0.7276 0.4670811          
                time2018       4.004331  5.664851  0.7069 0.4798479          
                time2019       4.008895  5.667881  0.7073 0.4795825          
                iis7           1.332222  0.381952  3.4879 0.0005129 ***      
                iis27         -1.233599  0.381420 -3.2342 0.0012690 **       
                iis31         -1.849241  0.381477 -4.8476 1.497e-06 ***      
                iis53          1.157223  0.382160  3.0281 0.0025387 **       
                iis59         -1.542337  0.382175 -4.0357 5.958e-05 ***      
                iis60          1.050490  0.384176  2.7344 0.0063855 **       
                iis71          1.143946  0.382209  2.9930 0.0028462 **       
                iis72         -0.912051  0.383230 -2.3799 0.0175468 *        
                iis146        -0.884703  0.408426 -2.1661 0.0305914 *        
                iis149        -0.917108  0.407826 -2.2488 0.0247940 *        
                iis151        -1.115026  0.408646 -2.7286 0.0064979 **       
                iis219         0.940035  0.381152  2.4663 0.0138570 *        
                iis345         1.325422  0.380914  3.4796 0.0005289 ***      
                iis363        -1.484803  0.381169 -3.8954 0.0001061 ***      
                iis395         1.359314  0.381435  3.5637 0.0003870 ***      
                iis426        -1.976545  0.456454 -4.3302 1.676e-05 ***      
                iis445         1.249170  0.381220  3.2768 0.0010945 **       
                iis452         1.486745  0.382699  3.8849 0.0001107 ***      
                iis454        -1.053842  0.383007 -2.7515 0.0060644 **       
                iis488        -1.436261  0.383850 -3.7417 0.0001956 ***      
                iis491         0.895362  0.384178  2.3306 0.0200186 *        
                iis508        -1.772967  0.381572 -4.6465 3.937e-06 ***      
                iis510        -1.100025  0.381679 -2.8821 0.0040549 **       
                iis554        -1.048116  0.407877 -2.5697 0.0103562 *        
                iis592        -0.889762  0.380851 -2.3362 0.0197206 *        
                iis630         1.072845  0.382485  2.8049 0.0051528 **       
                iis729        -0.776755  0.384023 -2.0227 0.0434331 *        
                iis738        -1.925757  0.416734 -4.6211 4.438e-06 ***      
                iis740        -1.981602  0.417838 -4.7425 2.492e-06 ***      
                iis743        -2.190509  0.418533 -5.2338 2.116e-07 ***      
                iis758        -1.912490  0.390735 -4.8946 1.188e-06 ***      
                iis805        -0.856565  0.380763 -2.2496 0.0247411 *        
                iis811        -0.794434  0.381013 -2.0851 0.0373755 *        
                iis864        -1.052834  0.380597 -2.7663 0.0057989 **       
                iis875        -0.966661  0.380602 -2.5398 0.0112761 *        
                iis913        -1.077904  0.402349 -2.6790 0.0075329 **       
                fesisCAN.1998  1.047592  0.276752  3.7853 0.0001648 ***      
                fesisCHE.1998 -1.038225  0.456584 -2.2739 0.0232322 *        
                fesisCHE.1999  1.078425  0.381985  2.8232 0.0048707 **       
                fesisCHN.2004  1.433746  0.234969  6.1019 1.621e-09 ***      
                fesisCHN.2015  0.661502  0.216109  3.0610 0.0022789 **       
                fesisCRI.2006 -0.402703  0.160243 -2.5131 0.0121605 *        
                fesisDNK.1998  0.936946  0.295485  3.1709 0.0015768 **       
                fesisDNK.2006  0.841878  0.170106  4.9491 9.064e-07 ***      
                fesisESP.2003  0.820106  0.171436  4.7838 2.043e-06 ***      
                fesisHUN.2013  0.784009  0.279630  2.8037 0.0051717 **       
                fesisHUN.2016 -1.081893  0.323026 -3.3492 0.0008476 ***      
                fesisISR.2014 -0.458981  0.185209 -2.4782 0.0134073 *        
                fesisJPN.1999  1.497127  0.235980  6.3443 3.707e-10 ***      
                fesisKOR.2002  1.025185  0.196957  5.2051 2.457e-07 ***      
                fesisNZL.2013  0.743762  0.211680  3.5136 0.0004665 ***      
                fesisPOL.2001  1.095452  0.408068  2.6845 0.0074121 **       
                fesisPOL.2002 -1.244889  0.398273 -3.1257 0.0018367 **       
                fesisPOL.2009  0.849226  0.187732  4.5236 6.985e-06 ***      
                fesisSVN.2015  1.058876  0.382692  2.7669 0.0057875 **       
                fesisSVN.2016 -1.351014  0.416515 -3.2436 0.0012284 **       
                fesisTWN.2003  1.017321  0.171794  5.9217 4.698e-09 ***      
                fesisUSA.2003  0.882198  0.183353  4.8115 1.786e-06 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df  p-value         
                Ljung-Box AR(1)   8.3621  1 0.003831 **      
                Ljung-Box ARCH(1) 2.3562  1 0.124789         
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.36721      
                R-squared           0.95106      
                Log-lik.(n=936)  -328.90955      

top_25

Count

0.01

                Formula: count~ gdp + pop      
                top_25 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Tue Jan  9 19:36:09 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            8.2251e-01  1.8448e-02  44.5841 < 2.2e-16 ***      
                gdp            4.0970e-15  4.8825e-15   0.8391 0.4017944          
                pop            3.2816e-08  1.3073e-08   2.5102 0.0123687 *        
                idAUT          6.6082e-01  2.3213e+00   0.2847 0.7760010          
                idBEL          1.6117e-01  2.3191e+00   0.0695 0.9446202          
                idBRA         -6.5129e+00  3.2106e+00  -2.0286 0.0430123 *        
                idCAN          1.0155e+00  2.3240e+00   0.4370 0.6623028          
                idCHE          2.4839e-01  2.3218e+00   0.1070 0.9148436          
                idCHN         -3.1448e+01  1.7071e+01  -1.8422 0.0660106 .        
                idDEU          1.5893e+01  3.3502e+00   4.7439 2.713e-06 ***      
                idDNK          8.4348e+00  2.9717e+00   2.8383 0.0047124 **       
                idESP          4.1764e+00  2.6946e+00   1.5499 0.1217769          
                idFIN         -1.5816e-01  2.3245e+00  -0.0680 0.9457789          
                idFRA          1.2287e+00  2.3857e+00   0.5150 0.6067619          
                idGBR          6.6380e+00  2.4467e+00   2.7131 0.0068873 **       
                idIND         -3.7107e+01  1.5474e+01  -2.3980 0.0168383 *        
                idISR         -3.4910e-02  2.3222e+00  -0.0150 0.9880117          
                idITA          4.2822e-01  2.3665e+00   0.1810 0.8564770          
                idJPN          7.7242e+00  3.7503e+00   2.0596 0.0399312 *        
                idKOR         -5.0360e-01  6.6281e+00  -0.0760 0.9394643          
                idNLD          2.6947e+00  2.3245e+00   1.1593 0.2468829          
                idNOR          1.2616e+00  2.3253e+00   0.5426 0.5876654          
                idRUS         -4.6086e+00  2.8399e+00  -1.6228 0.1052367          
                idSGP          6.4202e-01  2.3256e+00   0.2761 0.7826108          
                idSWE          4.5373e-01  2.3209e+00   0.1955 0.8450820          
                idTWN          7.1667e-01  2.3156e+00   0.3095 0.7570682          
                idUSA         -1.1868e+00  4.8239e+00  -0.2460 0.8057582          
                time1996      -2.4656e+00  2.2871e+00  -1.0781 0.2814995          
                time1997      -3.1883e+00  2.2863e+00  -1.3945 0.1637555          
                time1998      -1.9888e+00  2.2878e+00  -0.8693 0.3850826          
                time1999      -6.0851e-01  2.2864e+00  -0.2661 0.7902379          
                time2000      -1.2903e+00  2.2842e+00  -0.5649 0.5724017          
                time2001       5.0870e-01  2.2839e+00   0.2227 0.8238311          
                time2002      -1.0437e+00  2.2831e+00  -0.4571 0.6477613          
                time2003      -8.3199e-02  2.2840e+00  -0.0364 0.9709559          
                time2004      -1.5463e+00  2.2896e+00  -0.6754 0.4997420          
                time2005      -6.2646e-01  2.2908e+00  -0.2735 0.7846012          
                time2006       3.9723e+00  2.2971e+00   1.7292 0.0843630 .        
                time2007       3.4646e+00  2.3362e+00   1.4830 0.1386823          
                time2008       8.0237e+00  2.3465e+00   3.4195 0.0006767 ***      
                time2009       1.0314e+01  2.3324e+00   4.4222 1.191e-05 ***      
                time2010       3.2565e+00  2.4208e+00   1.3452 0.1791332          
                time2011       5.0091e+00  2.4072e+00   2.0809 0.0379360 *        
                time2012      -4.1809e+00  2.4107e+00  -1.7343 0.0834570 .        
                time2013      -4.4581e+00  2.3839e+00  -1.8701 0.0620383 .        
                time2014      -3.7418e-01  2.3510e+00  -0.1592 0.8736068          
                time2015      -6.0410e-01  2.3389e+00  -0.2583 0.7962879          
                time2016       8.7473e-01  2.3851e+00   0.3667 0.7139610          
                time2017       4.6601e+00  2.3633e+00   1.9719 0.0491496 *        
                time2018      -2.7232e+00  2.3968e+00  -1.1362 0.2564066          
                time2019       1.1705e+00  2.3933e+00   0.4891 0.6250036          
                iis181         3.3154e+01  9.0268e+00   3.6728 0.0002648 ***      
                iis183         1.0114e+02  8.9866e+00  11.2546 < 2.2e-16 ***      
                iis186        -7.7885e+01  9.5901e+00  -8.1213 3.382e-15 ***      
                iis189         5.7938e+01  9.4729e+00   6.1162 1.887e-09 ***      
                iis191         4.5482e+01  9.4732e+00   4.8011 2.067e-06 ***      
                iis192        -4.4129e+01  9.5280e+00  -4.6315 4.596e-06 ***      
                iis204         4.7308e+01  9.1802e+00   5.1532 3.645e-07 ***      
                iis205         6.3269e+01  8.9411e+00   7.0762 4.827e-12 ***      
                iis207         7.7260e+01  8.8628e+00   8.7173 < 2.2e-16 ***      
                iis209        -4.6406e+01  8.9557e+00  -5.1817 3.153e-07 ***      
                iis213         4.9210e+01  8.8796e+00   5.5419 4.765e-08 ***      
                iis215         5.1016e+01  8.8566e+00   5.7603 1.440e-08 ***      
                iis399         6.3747e+01  8.4210e+00   7.5700 1.717e-13 ***      
                iis588         4.2815e+01  1.0576e+01   4.0483 5.946e-05 ***      
                iis590         6.5921e+01  1.0043e+01   6.5636 1.275e-10 ***      
                iis594         6.6143e+01  1.0075e+01   6.5649 1.265e-10 ***      
                iis595        -4.7984e+01  1.0169e+01  -4.7186 3.057e-06 ***      
                iis598         8.8138e+01  1.0046e+01   8.7736 < 2.2e-16 ***      
                fesisDEU.2006  2.8716e+01  5.2238e+00   5.4971 6.062e-08 ***      
                fesisDEU.2013 -1.7982e+01  5.9891e+00  -3.0025 0.0028071 **       
                fesisDNK.2007  2.0277e+01  5.2709e+00   3.8470 0.0001345 ***      
                fesisDNK.2019 -3.2995e+01  8.9119e+00  -3.7023 0.0002365 ***      
                fesisESP.2011  3.4786e+01  6.1843e+00   5.6249 3.037e-08 ***      
                fesisESP.2013 -4.1826e+01  6.5792e+00  -6.3573 4.502e-10 ***      
                fesisJPN.2016 -1.7948e+01  4.5788e+00  -3.9197 0.0001005 ***      
                fesisUSA.2004  2.2393e+01  5.6067e+00   3.9940 7.436e-05 ***      
                fesisUSA.2007  4.9943e+01  8.4543e+00   5.9074 6.292e-09 ***      
                fesisUSA.2011 -9.0798e+01  8.2255e+00 -11.0387 < 2.2e-16 ***      
                fesisUSA.2013  2.5274e+01  8.5865e+00   2.9434 0.0033912 **       
                fesisUSA.2017 -2.5321e+01  8.1983e+00  -3.0886 0.0021190 **       
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df p-value          
                Ljung-Box AR(1)    0.6564  1  0.4178          
                Ljung-Box ARCH(1) 31.8100  1 1.7e-08 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression     8.01947      
                R-squared            0.98500      
                Log-lik.(n=600)  -2059.98632      
0.05

                Formula: count~ gdp + pop      
                top_25 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Tue Jan  9 19:36:06 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            7.5375e-01  1.6552e-02  45.5378 < 2.2e-16 ***      
                gdp            6.9545e-15  4.2550e-15   1.6344 0.1027828          
                pop            2.3369e-08  1.1678e-08   2.0011 0.0459052 *        
                idAUT          5.3282e-01  2.0215e+00   0.2636 0.7922070          
                idBEL          3.0306e-02  2.0195e+00   0.0150 0.9880328          
                idBRA         -5.2266e+00  2.8285e+00  -1.8478 0.0652031 .        
                idCAN          1.6883e+00  2.0243e+00   0.8340 0.4046789          
                idCHE          2.7166e-02  2.0220e+00   0.0134 0.9892858          
                idCHN         -2.1355e+01  1.5129e+01  -1.4116 0.1586794          
                idDEU          2.0257e+01  2.9340e+00   6.9041 1.502e-11 ***      
                idDNK          6.2938e+00  2.6721e+00   2.3553 0.0188822 *        
                idESP          5.2500e+00  2.3471e+00   2.2368 0.0257297 *        
                idFIN         -4.8974e-01  2.0246e+00  -0.2419 0.8089573          
                idFRA          2.4843e+00  2.0825e+00   1.1929 0.2334475          
                idGBR          7.8512e+00  2.1594e+00   3.6359 0.0003051 ***      
                idIND         -2.5918e+01  1.3817e+01  -1.8758 0.0612459 .        
                idISR         -2.8621e-01  2.0224e+00  -0.1415 0.8875166          
                idITA          1.2828e+00  2.0639e+00   0.6215 0.5345215          
                idJPN          4.2332e+00  3.4547e+00   1.2253 0.2210141          
                idKOR         -2.2347e+00  5.7728e+00  -0.3871 0.6988403          
                idNLD          3.3673e+00  2.0243e+00   1.6634 0.0968397 .        
                idNOR          1.1561e+00  2.0251e+00   0.5709 0.5683378          
                idRUS         -3.7737e+00  2.4923e+00  -1.5142 0.1305971          
                idSGP          5.8848e-01  2.0254e+00   0.2906 0.7715105          
                idSWE          4.6500e-01  2.0210e+00   0.2301 0.8181215          
                idTWN          9.1554e-01  2.0163e+00   0.4541 0.6499676          
                idUSA          2.1220e+00  4.2640e+00   0.4976 0.6189447          
                time1996      -2.3710e+00  1.9909e+00  -1.1909 0.2342412          
                time1997      -3.0313e+00  1.9904e+00  -1.5230 0.1283815          
                time1998      -1.8135e+00  1.9917e+00  -0.9105 0.3629769          
                time1999      -3.4529e-01  1.9907e+00  -0.1734 0.8623701          
                time2000      -8.5562e-01  1.9893e+00  -0.4301 0.6672961          
                time2001       1.0473e+00  1.9894e+00   0.5264 0.5988164          
                time2002      -2.9413e-01  1.9895e+00  -0.1478 0.8825262          
                time2003      -5.9552e-01  2.0096e+00  -0.2963 0.7670942          
                time2004      -7.4105e-01  1.9955e+00  -0.3714 0.7105198          
                time2005       2.5137e-01  1.9969e+00   0.1259 0.8998756          
                time2006       2.8169e+00  2.0131e+00   1.3993 0.1623430          
                time2007       4.2184e+00  2.0365e+00   2.0714 0.0388194 *        
                time2008       9.1287e+00  2.0468e+00   4.4600 1.008e-05 ***      
                time2009       1.1802e+01  2.0537e+00   5.7470 1.562e-08 ***      
                time2010       5.6317e+00  2.1169e+00   2.6604 0.0080502 **       
                time2011       4.2543e+00  2.1305e+00   1.9969 0.0463636 *        
                time2012      -2.4998e+00  2.1091e+00  -1.1853 0.2364589          
                time2013      -9.5863e-01  2.0993e+00  -0.4566 0.6481238          
                time2014       6.1153e-01  2.0588e+00   0.2970 0.7665634          
                time2015       5.2906e-01  2.0399e+00   0.2594 0.7954651          
                time2016       1.0010e+00  2.0710e+00   0.4834 0.6290484          
                time2017       4.6037e+00  2.0650e+00   2.2293 0.0262249 *        
                time2018      -1.6543e+00  2.1047e+00  -0.7860 0.4322314          
                time2019       7.4325e-01  2.0863e+00   0.3563 0.7217977          
                iis181         2.8204e+01  7.8655e+00   3.5858 0.0003683 ***      
                iis183         9.9781e+01  7.8254e+00  12.7509 < 2.2e-16 ***      
                iis186        -7.4116e+01  8.3669e+00  -8.8582 < 2.2e-16 ***      
                iis189         5.6656e+01  8.2481e+00   6.8690 1.882e-11 ***      
                iis191         4.6651e+01  8.2566e+00   5.6501 2.664e-08 ***      
                iis192        -3.9362e+01  8.3017e+00  -4.7414 2.755e-06 ***      
                iis204         3.0527e+01  8.7737e+00   3.4794 0.0005455 ***      
                iis205         5.0858e+01  8.7425e+00   5.8174 1.054e-08 ***      
                iis207         4.7111e+01  1.0156e+01   4.6387 4.458e-06 ***      
                iis209        -7.0865e+01  1.0083e+01  -7.0278 6.728e-12 ***      
                iis210        -4.4597e+01  8.2645e+00  -5.3962 1.043e-07 ***      
                iis213         4.7453e+01  8.2418e+00   5.7576 1.472e-08 ***      
                iis215         7.9816e+01  1.0123e+01   7.8848 1.913e-14 ***      
                iis304         3.8274e+01  7.3077e+00   5.2375 2.381e-07 ***      
                iis392         3.3414e+01  7.3990e+00   4.5160 7.830e-06 ***      
                iis399         5.2167e+01  7.8687e+00   6.6297 8.555e-11 ***      
                iis407        -2.3785e+01  8.2456e+00  -2.8846 0.0040838 **       
                iis588         3.0292e+01  9.2398e+00   3.2785 0.0011146 **       
                iis590         6.4572e+01  8.7503e+00   7.3794 6.467e-13 ***      
                iis594         7.4432e+01  7.9904e+00   9.3152 < 2.2e-16 ***      
                iis595        -3.4823e+01  7.9807e+00  -4.3634 1.550e-05 ***      
                iis598         8.6729e+01  8.7515e+00   9.9102 < 2.2e-16 ***      
                fesisCHN.2016  2.6297e+01  4.1384e+00   6.3543 4.633e-10 ***      
                fesisDEU.2006  3.9936e+01  4.5949e+00   8.6913 < 2.2e-16 ***      
                fesisDEU.2013 -1.8927e+01  5.2178e+00  -3.6275 0.0003149 ***      
                fesisDNK.2006  4.2754e+01  5.7387e+00   7.4501 3.994e-13 ***      
                fesisDNK.2010  2.3110e+01  9.1064e+00   2.5378 0.0114512 *        
                fesisDNK.2013 -3.0341e+01  8.3879e+00  -3.6173 0.0003272 ***      
                fesisDNK.2018 -2.8223e+01  8.3468e+00  -3.3813 0.0007766 ***      
                fesisESP.2011  3.8530e+01  5.3932e+00   7.1441 3.132e-12 ***      
                fesisESP.2013 -4.3070e+01  5.7322e+00  -7.5137 2.582e-13 ***      
                fesisJPN.2010  1.9047e+01  4.0219e+00   4.7358 2.829e-06 ***      
                fesisJPN.2016 -2.0821e+01  5.2281e+00  -3.9825 7.808e-05 ***      
                fesisUSA.2004  2.6095e+01  4.8899e+00   5.3364 1.427e-07 ***      
                fesisUSA.2007  6.4330e+01  7.4058e+00   8.6865 < 2.2e-16 ***      
                fesisUSA.2011 -7.8826e+01  6.2108e+00 -12.6919 < 2.2e-16 ***      
                fesisUSA.2017 -1.7577e+01  6.2794e+00  -2.7991 0.0053175 **       
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df  p-value          
                Ljung-Box AR(1)    1.368  1   0.2422          
                Ljung-Box ARCH(1) 23.394  1 1.32e-06 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression     6.98270      
                R-squared            0.98878      
                Log-lik.(n=600)  -1973.42483      

Log Count

0.01

                Formula: log_count~ lgdp + lpop      
                top_25 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Tue Jan  9 19:48:04 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                  coef std.error  t-stat   p-value          
                ar1            0.43814   0.03436 12.7514 < 2.2e-16 ***      
                lgdp           1.09074   0.15805  6.9014 1.464e-11 ***      
                lpop          -2.79688   0.60574 -4.6173 4.876e-06 ***      
                idAUT         -0.83775   0.52891 -1.5839 0.1138028          
                idBEL         -0.42772   0.39696 -1.0775 0.2817432          
                idBRA          4.69330   1.27347  3.6854 0.0002516 ***      
                idCAN          1.47218   0.29146  5.0511 6.039e-07 ***      
                idCHE         -1.86730   0.58330 -3.2013 0.0014495 **       
                idCHN          8.82913   2.33808  3.7762 0.0001771 ***      
                idDEU          4.86754   0.82011  5.9352 5.284e-09 ***      
                idDNK         -3.03565   0.82871 -3.6631 0.0002740 ***      
                idESP          3.27505   0.50174  6.5274 1.558e-10 ***      
                idFIN         -1.97760   0.77245 -2.5602 0.0107359 *        
                idFRA          3.31861   0.66509  4.9897 8.193e-07 ***      
                idGBR          3.73809   0.66305  5.6377 2.795e-08 ***      
                idIND          7.15323   2.24496  3.1864 0.0015250 **       
                idISR         -2.56859   0.63694 -4.0327 6.317e-05 ***      
                idITA          3.11236   0.62077  5.0137 7.277e-07 ***      
                idJPN         -1.06834   1.15147 -0.9278 0.3539269          
                idKOR         -4.33127   0.96006 -4.5114 7.923e-06 ***      
                idNLD          0.74523   0.19948  3.7359 0.0002072 ***      
                idNOR         -4.74527   0.95743 -4.9563 9.665e-07 ***      
                idRUS          1.73331   1.10868  1.5634 0.1185506          
                idSGP         -3.00094   0.90934 -3.3001 0.0010310 **       
                idSWE         -2.45989   0.58573 -4.1997 3.131e-05 ***      
                idTWN          0.82545   0.15905  5.1899 2.995e-07 ***      
                idUSA          6.36725   1.50873  4.2203 2.867e-05 ***      
                time1996      16.96773   9.18281  1.8478 0.0651884 .        
                time1997      16.81614   9.18807  1.8302 0.0677750 .        
                time1998      16.87668   9.19187  1.8360 0.0669068 .        
                time1999      17.27189   9.19641  1.8781 0.0609104 .        
                time2000      17.04261   9.20302  1.8519 0.0645991 .        
                time2001      17.22422   9.20797  1.8706 0.0619505 .        
                time2002      17.33954   9.21420  1.8818 0.0604029 .        
                time2003      17.32335   9.22076  1.8787 0.0608253 .        
                time2004      17.45316   9.22360  1.8922 0.0590012 .        
                time2005      17.58550   9.22891  1.9055 0.0572546 .        
                time2006      17.81377   9.23525  1.9289 0.0542742 .        
                time2007      17.90190   9.23816  1.9378 0.0531719 .        
                time2008      18.10723   9.24538  1.9585 0.0506896 .        
                time2009      18.26807   9.25192  1.9745 0.0488378 *        
                time2010      18.15409   9.25732  1.9611 0.0503922 .        
                time2011      18.16340   9.26117  1.9612 0.0503700 .        
                time2012      18.02991   9.26416  1.9462 0.0521548 .        
                time2013      17.82961   9.26728  1.9239 0.0548944 .        
                time2014      17.87331   9.26984  1.9281 0.0543706 .        
                time2015      17.66758   9.27300  1.9053 0.0572817 .        
                time2016      17.86693   9.27640  1.9261 0.0546271 .        
                time2017      17.95444   9.28022  1.9347 0.0535548 .        
                time2018      17.72550   9.28418  1.9092 0.0567701 .        
                time2019      17.69091   9.28644  1.9050 0.0573136 .        
                iis7           1.33841   0.43122  3.1038 0.0020119 **       
                iis31         -1.76300   0.43150 -4.0858 5.067e-05 ***      
                iis53          1.38287   0.42907  3.2229 0.0013462 **       
                iis59         -1.82408   0.42894 -4.2525 2.496e-05 ***      
                iis92          1.31058   0.42895  3.0553 0.0023606 **       
                iis151        -1.42548   0.43459 -3.2801 0.0011056 **       
                iis249         1.22385   0.42975  2.8478 0.0045717 **       
                iis344        -1.29648   0.43015 -3.0140 0.0027005 **       
                iis364        -1.57223   0.42959 -3.6599 0.0002774 ***      
                fesisDNK.2006  0.68326   0.17917  3.8135 0.0001530 ***      
                fesisJPN.1999  1.03461   0.26501  3.9040 0.0001067 ***      
                fesisRUS.2003 -0.90048   0.21148 -4.2581 2.437e-05 ***      
                fesisSGP.2007  1.22964   0.24275  5.0654 5.622e-07 ***      
                fesisSGP.2012 -1.21294   0.24525 -4.9457 1.018e-06 ***      
                fesisSWE.2002 -0.87955   0.20289 -4.3352 1.741e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df  p-value         
                Ljung-Box AR(1)   3.9355  1 0.047278 *       
                Ljung-Box ARCH(1) 9.5327  1 0.002018 **      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.41092      
                R-squared           0.93032      
                Log-lik.(n=600)  -284.74341      
0.05

                Formula: log_count~ lgdp + lpop      
                top_25 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Tue Jan  9 19:49:55 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1            0.370886  0.032838 11.2945 < 2.2e-16 ***      
                lgdp           0.661756  0.200980  3.2926 0.0010615 **       
                lpop          -2.868005  0.611867 -4.6873 3.559e-06 ***      
                idAUT         -1.677827  0.524878 -3.1966 0.0014770 **       
                idBEL         -1.083330  0.397410 -2.7260 0.0066322 **       
                idBRA          5.188888  1.308219  3.9664 8.344e-05 ***      
                idCAN          1.654339  0.338200  4.8916 1.344e-06 ***      
                idCHE         -2.218840  0.563541 -3.9373 9.387e-05 ***      
                idCHN         10.095856  2.386539  4.2303 2.768e-05 ***      
                idDEU          5.473250  0.854958  6.4018 3.492e-10 ***      
                idDNK         -3.528649  0.851274 -4.1451 3.978e-05 ***      
                idESP          2.660721  0.569918  4.6686 3.884e-06 ***      
                idFIN         -2.781788  0.745418 -3.7319 0.0002115 ***      
                idFRA          3.681914  0.703723  5.2321 2.454e-07 ***      
                idGBR          3.281561  0.721983  4.5452 6.864e-06 ***      
                idIND          8.718280  2.248575  3.8772 0.0001195 ***      
                idISR         -2.795717  0.621269 -4.5000 8.428e-06 ***      
                idITA          3.311883  0.662159  5.0016 7.838e-07 ***      
                idJPN          1.642930  1.306125  1.2579 0.2090169          
                idKOR         -2.064616  1.229800 -1.6788 0.0938002 .        
                idNLD          0.462147  0.223684  2.0661 0.0393274 *        
                idNOR         -4.579633  0.964247 -4.7494 2.656e-06 ***      
                idRUS          3.418061  1.165273  2.9333 0.0035053 **       
                idSGP         -3.965742  0.886767 -4.4721 9.558e-06 ***      
                idSWE         -2.157545  0.596317 -3.6181 0.0003264 ***      
                idTWN          0.658839  0.216024  3.0498 0.0024089 **       
                idUSA          7.852755  1.540743  5.0967 4.880e-07 ***      
                time1996      30.229406  9.289457  3.2542 0.0012129 **       
                time1997      30.043691  9.294934  3.2323 0.0013077 **       
                time1998      30.054168  9.298580  3.2321 0.0013083 **       
                time1999      30.412174  9.305169  3.2683 0.0011550 **       
                time2000      30.204170  9.314288  3.2428 0.0012613 **       
                time2001      30.404856  9.319531  3.2625 0.0011785 **       
                time2002      30.544934  9.324195  3.2759 0.0011251 **       
                time2003      30.502116  9.332486  3.2684 0.0011547 **       
                time2004      30.627056  9.335805  3.2806 0.0011069 **       
                time2005      30.822947  9.340053  3.3001 0.0010343 **       
                time2006      31.130395  9.347951  3.3302 0.0009309 ***      
                time2007      31.208477  9.352533  3.3369 0.0009091 ***      
                time2008      31.448687  9.357791  3.3607 0.0008359 ***      
                time2009      31.585919  9.363957  3.3731 0.0007998 ***      
                time2010      31.508824  9.370643  3.3625 0.0008305 ***      
                time2011      31.532839  9.375018  3.3635 0.0008276 ***      
                time2012      31.407805  9.378126  3.3490 0.0008710 ***      
                time2013      31.203759  9.381117  3.3262 0.0009439 ***      
                time2014      31.239136  9.383491  3.3292 0.0009342 ***      
                time2015      31.074579  9.384578  3.3112 0.0009948 ***      
                time2016      31.234052  9.390124  3.3263 0.0009438 ***      
                time2017      31.373617  9.393589  3.3399 0.0008996 ***      
                time2018      31.084122  9.399553  3.3070 0.0010097 **       
                time2019      31.122878  9.400322  3.3108 0.0009962 ***      
                iis22         -0.865739  0.379299 -2.2825 0.0228732 *        
                iis31         -1.606532  0.380438 -4.2228 2.858e-05 ***      
                iis53          1.448910  0.375395  3.8597 0.0001281 ***      
                iis59         -1.812362  0.375422 -4.8275 1.831e-06 ***      
                iis60          0.836489  0.380577  2.1980 0.0284021 *        
                iis71          1.138681  0.375257  3.0344 0.0025333 **       
                iis72         -0.914621  0.377085 -2.4255 0.0156338 *        
                iis92          1.303021  0.374323  3.4810 0.0005425 ***      
                iis131        -1.198434  0.374325 -3.2016 0.0014522 **       
                iis133        -0.952452  0.373842 -2.5477 0.0111352 *        
                iis151        -1.185341  0.392353 -3.0211 0.0026452 **       
                iis249         1.107884  0.386457  2.8668 0.0043186 **       
                iis267        -1.104303  0.375844 -2.9382 0.0034510 **       
                iis344        -1.304739  0.375742 -3.4724 0.0005597 ***      
                iis356        -0.924472  0.377816 -2.4469 0.0147470 *        
                iis364        -1.513200  0.375270 -4.0323 6.370e-05 ***      
                iis552        -0.851209  0.377729 -2.2535 0.0246529 *        
                iis577        -1.657960  0.377234 -4.3950 1.349e-05 ***      
                fesisAUS.2002  0.901011  0.259384  3.4737 0.0005572 ***      
                fesisAUS.2005 -0.857233  0.237176 -3.6143 0.0003311 ***      
                fesisAUT.2000  0.981341  0.317517  3.0907 0.0021064 **       
                fesisAUT.2002 -0.903707  0.274806 -3.2885 0.0010768 **       
                fesisCHN.2004  0.716281  0.241642  2.9642 0.0031767 **       
                fesisDNK.1998  1.720065  0.448012  3.8393 0.0001389 ***      
                fesisDNK.1999 -1.021433  0.392801 -2.6004 0.0095827 **       
                fesisDNK.2006  0.715876  0.172631  4.1469 3.949e-05 ***      
                fesisESP.1999  1.208207  0.423206  2.8549 0.0044809 **       
                fesisESP.2000 -1.144045  0.423398 -2.7021 0.0071212 **       
                fesisESP.2003  0.741592  0.231991  3.1966 0.0014768 **       
                fesisFIN.2007 -1.058966  0.384801 -2.7520 0.0061349 **       
                fesisFIN.2008  0.873166  0.381552  2.2885 0.0225196 *        
                fesisGBR.2000  0.880233  0.203947  4.3160 1.910e-05 ***      
                fesisIND.2008  0.838407  0.180332  4.6492 4.251e-06 ***      
                fesisJPN.1999  1.152070  0.233667  4.9304 1.112e-06 ***      
                fesisKOR.1998  0.863332  0.276160  3.1262 0.0018720 **       
                fesisNOR.2019  1.017257  0.375232  2.7110 0.0069345 **       
                fesisRUS.2003 -0.736823  0.196662 -3.7466 0.0001997 ***      
                fesisSGP.2007  1.500201  0.218963  6.8514 2.119e-11 ***      
                fesisSGP.2012 -1.194735  0.215179 -5.5523 4.546e-08 ***      
                fesisSWE.2003 -0.757414  0.173776 -4.3586 1.585e-05 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df p-value        
                Ljung-Box AR(1)   4.5491  1 0.03294 *      
                Ljung-Box ARCH(1) 4.0607  1 0.04389 *      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.35794      
                R-squared           0.94960      
                Log-lik.(n=600)  -189.43330      

top_50

Count

0.01

                Formula: count~ gdp + pop      
                top_50 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Tue Jan  9 19:46:23 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 1200       
                Sample: 1 to 1200       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            7.5111e-01  1.0611e-02  70.7853 < 2.2e-16 ***      
                gdp           -1.8894e-16  3.7016e-16  -0.5104 0.6098542          
                pop            3.0867e-08  7.7484e-09   3.9837 7.238e-05 ***      
                idAUS          2.2157e+00  1.3766e+00   1.6095 0.1077895          
                idAUT          2.8373e+00  1.3913e+00   2.0393 0.0416667 *        
                idBEL          2.3161e+00  1.3878e+00   1.6689 0.0954274 .        
                idBGR          8.9775e-01  1.3896e+00   0.6460 0.5183927          
                idBRA         -4.2788e+00  1.7962e+00  -2.3821 0.0173867 *        
                idCAN          3.8378e+00  1.3764e+00   2.7884 0.0053898 **       
                idCHE          2.3349e+00  1.3914e+00   1.6781 0.0936163 .        
                idCHL          6.3301e-01  1.3798e+00   0.4588 0.6464870          
                idCHN         -2.8442e+01  9.8733e+00  -2.8807 0.0040462 **       
                idCZE          8.1484e-01  1.3859e+00   0.5880 0.5566841          
                idDEU          2.0964e+01  1.9252e+00  10.8894 < 2.2e-16 ***      
                idDNK          7.4573e+00  1.8180e+00   4.1019 4.404e-05 ***      
                idESP          5.9486e+00  1.4359e+00   4.1427 3.699e-05 ***      
                idFIN          1.8297e+00  1.3942e+00   1.3124 0.1896669          
                idFRA          4.4178e+00  1.3891e+00   3.1804 0.0015126 **       
                idGBR          5.5857e+00  1.6566e+00   3.3717 0.0007735 ***      
                idGRC          1.1134e+00  1.3855e+00   0.8036 0.4217943          
                idHKG          1.0139e+00  1.3906e+00   0.7291 0.4660894          
                idHUN          1.0176e+00  1.3866e+00   0.7339 0.4631778          
                idIND         -3.1932e+01  9.0200e+00  -3.5402 0.0004168 ***      
                idIRL          1.3506e+00  1.3950e+00   0.9682 0.3331663          
                idIRN          1.0905e+00  4.4329e+00   0.2460 0.8057267          
                idISR          2.0259e+00  1.3917e+00   1.4557 0.1457696          
                idITA          3.2394e+00  1.3793e+00   2.3486 0.0190234 *        
                idJPN          9.3611e+00  1.8097e+00   5.1727 2.748e-07 ***      
                idKOR          7.2761e+00  1.4963e+00   4.8626 1.330e-06 ***      
                idLUX          1.1679e+00  1.4006e+00   0.8338 0.4045565          
                idMEX         -2.0858e+00  1.4671e+00  -1.4217 0.1553949          
                idMYS          3.3671e-01  1.3704e+00   0.2457 0.8059603          
                idNLD          5.6410e+00  1.3924e+00   4.0511 5.461e-05 ***      
                idNOR          3.5070e+00  1.3973e+00   2.5099 0.0122200 *        
                idNZL          1.4454e+00  1.3949e+00   1.0362 0.3003442          
                idPHL         -1.5446e+00  1.4216e+00  -1.0865 0.2774870          
                idPOL          7.1907e-01  1.3670e+00   0.5260 0.5989777          
                idPRT          1.1023e+00  1.3861e+00   0.7953 0.4266246          
                idROU          5.2783e-01  1.3748e+00   0.3839 0.7011019          
                idRUS         -1.9991e+00  1.5864e+00  -1.2601 0.2078992          
                idSAU          3.7061e-01  1.3704e+00   0.2704 0.7868727          
                idSGP          2.9240e+00  1.3979e+00   2.0917 0.0367015 *        
                idSVK          1.0254e+00  1.3928e+00   0.7362 0.4617527          
                idSVN          1.0239e+00  1.3980e+00   0.7324 0.4641003          
                idSWE          2.7912e+00  1.3915e+00   2.0058 0.0451223 *        
                idTHA         -8.9795e-01  1.3823e+00  -0.6496 0.5160819          
                idTUR         -4.1713e-01  1.3880e+00  -0.3005 0.7638316          
                idTWN          3.1225e+00  1.3772e+00   2.2673 0.0235684 *        
                idUKR          2.2006e-01  1.3678e+00   0.1609 0.8722147          
                idUSA          1.2379e+00  2.7139e+00   0.4561 0.6483775          
                idVNM         -8.8866e-01  1.6941e+00  -0.5246 0.5999842          
                idZAF         -9.0892e-02  1.3693e+00  -0.0664 0.9470880          
                time1996      -2.8578e+00  1.1977e+00  -2.3861 0.0172000 *        
                time1997      -3.1649e+00  1.1989e+00  -2.6399 0.0084134 **       
                time1998      -2.5178e+00  1.2004e+00  -2.0974 0.0361900 *        
                time1999      -1.6892e+00  1.2013e+00  -1.4061 0.1599849          
                time2000      -2.0858e+00  1.2016e+00  -1.7358 0.0828823 .        
                time2001      -9.5252e-01  1.2026e+00  -0.7920 0.4285121          
                time2002      -1.8208e+00  1.2030e+00  -1.5136 0.1304287          
                time2003      -1.8649e+00  1.2078e+00  -1.5441 0.1228624          
                time2004      -1.9870e+00  1.2060e+00  -1.6477 0.0997076 .        
                time2005      -1.3514e+00  1.2072e+00  -1.1194 0.2632100          
                time2006       2.1856e-01  1.2139e+00   0.1800 0.8571476          
                time2007       7.6092e-01  1.2153e+00   0.6261 0.5313820          
                time2008       2.0675e+00  1.2230e+00   1.6905 0.0912237 .        
                time2009       3.0193e+00  1.2215e+00   2.4717 0.0136004 *        
                time2010       4.0408e-01  1.2296e+00   0.3286 0.7425011          
                time2011       3.8194e-01  1.2306e+00   0.3104 0.7563295          
                time2012      -2.5139e+00  1.2295e+00  -2.0446 0.0411327 *        
                time2013      -2.1221e+00  1.2310e+00  -1.7238 0.0850296 .        
                time2014      -1.2414e+00  1.2268e+00  -1.0119 0.3118302          
                time2015      -1.2909e+00  1.2258e+00  -1.0531 0.2925407          
                time2016      -6.8304e-01  1.2347e+00  -0.5532 0.5802362          
                time2017       3.6519e-01  1.2301e+00   0.2969 0.7666221          
                time2018      -2.2368e+00  1.2403e+00  -1.8035 0.0715924 .        
                time2019      -1.7086e+00  1.2371e+00  -1.3811 0.1675264          
                iis277         3.3760e+01  5.5299e+00   6.1049 1.431e-09 ***      
                iis279         7.6818e+01  6.8614e+00  11.1956 < 2.2e-16 ***      
                iis282        -7.6034e+01  5.3867e+00 -14.1151 < 2.2e-16 ***      
                iis285         5.4924e+01  5.3838e+00  10.2017 < 2.2e-16 ***      
                iis288        -8.4064e+01  6.7768e+00 -12.4047 < 2.2e-16 ***      
                iis301         3.1274e+01  5.5528e+00   5.6321 2.267e-08 ***      
                iis303         4.9057e+01  5.5385e+00   8.8575 < 2.2e-16 ***      
                iis305        -4.2832e+01  5.6444e+00  -7.5883 6.966e-14 ***      
                iis306        -4.5953e+01  5.5408e+00  -8.2936 3.231e-16 ***      
                iis309         4.6462e+01  5.5269e+00   8.4065 < 2.2e-16 ***      
                iis311         4.9627e+01  5.5372e+00   8.9625 < 2.2e-16 ***      
                iis312        -2.8216e+01  5.5831e+00  -5.0538 5.081e-07 ***      
                iis328         3.6165e+01  4.8937e+00   7.3902 2.924e-13 ***      
                iis329         4.3068e+01  4.9121e+00   8.7677 < 2.2e-16 ***      
                iis397         4.0745e+01  4.9725e+00   8.1941 7.066e-16 ***      
                iis405        -2.4006e+01  5.1161e+00  -4.6923 3.047e-06 ***      
                iis608         3.2230e+01  4.9651e+00   6.4913 1.293e-10 ***      
                iis615         5.5429e+01  5.2648e+00  10.5282 < 2.2e-16 ***      
                iis623        -2.5939e+01  5.5260e+00  -4.6940 3.022e-06 ***      
                iis638         4.1470e+01  4.8876e+00   8.4847 < 2.2e-16 ***      
                iis1140        2.7130e+01  6.1903e+00   4.3828 1.286e-05 ***      
                iis1142        6.7146e+01  5.8671e+00  11.4446 < 2.2e-16 ***      
                iis1146        7.5993e+01  5.2417e+00  14.4979 < 2.2e-16 ***      
                iis1147       -3.2497e+01  5.2546e+00  -6.1845 8.817e-10 ***      
                iis1150        7.3517e+01  5.3049e+00  13.8584 < 2.2e-16 ***      
                iis1151       -2.2594e+01  5.2489e+00  -4.3046 1.824e-05 ***      
                fesisCHN.2016  2.5963e+01  2.7663e+00   9.3853 < 2.2e-16 ***      
                fesisDEU.2006  4.0560e+01  3.2544e+00  12.4630 < 2.2e-16 ***      
                fesisDEU.2010  2.6874e+01  5.8791e+00   4.5712 5.409e-06 ***      
                fesisDEU.2012 -4.3824e+01  5.4275e+00  -8.0744 1.794e-15 ***      
                fesisDEU.2018  4.3943e+01  5.3517e+00   8.2112 6.183e-16 ***      
                fesisDNK.2006  3.4502e+01  5.0183e+00   6.8753 1.043e-11 ***      
                fesisDNK.2007  3.4051e+01  5.7597e+00   5.9119 4.529e-09 ***      
                fesisDNK.2012 -3.1109e+01  3.9074e+00  -7.9615 4.268e-15 ***      
                fesisGBR.2010  3.9714e+01  3.6721e+00  10.8150 < 2.2e-16 ***      
                fesisGBR.2012 -3.4136e+01  3.8373e+00  -8.8959 < 2.2e-16 ***      
                fesisJPN.2010  1.8825e+01  2.7259e+00   6.9059 8.485e-12 ***      
                fesisJPN.2016 -1.9691e+01  3.5065e+00  -5.6155 2.490e-08 ***      
                fesisUSA.2004  2.6860e+01  3.2773e+00   8.1957 6.978e-16 ***      
                fesisUSA.2007  6.9189e+01  4.9668e+00  13.9301 < 2.2e-16 ***      
                fesisUSA.2011 -8.5560e+01  4.0409e+00 -21.1732 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    7.8101  1  0.005196 **       
                Ljung-Box ARCH(1) 83.5762  1 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression     4.73460      
                R-squared            0.99039      
                Log-lik.(n=1200) -3510.10225      
0.05

                Formula: count~ gdp + pop      
                top_50 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Tue Jan  9 19:47:45 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 1200       
                Sample: 1 to 1200       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            7.5497e-01  1.1631e-02  64.9088 < 2.2e-16 ***      
                gdp           -1.7699e-16  3.1801e-16  -0.5565 0.5779564          
                pop            1.8131e-08  6.8490e-09   2.6473 0.0082344 **       
                idAUS          1.9555e+00  1.1824e+00   1.6539 0.0984482 .        
                idAUT          2.4116e+00  1.1957e+00   2.0169 0.0439535 *        
                idBEL          1.9227e+00  1.1924e+00   1.6124 0.1071705          
                idBGR          4.8577e-01  1.1937e+00   0.4070 0.6841175          
                idBRA         -2.3649e+00  1.5611e+00  -1.5149 0.1301031          
                idCAN          3.6976e+00  1.1853e+00   3.1195 0.0018605 **       
                idCHE          1.9062e+00  1.1955e+00   1.5944 0.1111415          
                idCHL          3.3474e-01  1.1847e+00   0.2826 0.7775639          
                idCHN         -1.8912e+01  8.5857e+00  -2.2028 0.0278246 *        
                idCZE          4.3836e-01  1.1903e+00   0.3683 0.7127295          
                idDEU          6.3982e+00  3.0405e+00   2.1043 0.0355846 *        
                idDNK          6.7697e+00  1.5656e+00   4.3242 1.675e-05 ***      
                idESP          7.5283e+00  1.3590e+00   5.5397 3.815e-08 ***      
                idFIN          1.3756e+00  1.1979e+00   1.1483 0.2510936          
                idFRA          4.6509e+00  1.1998e+00   3.8763 0.0001126 ***      
                idGBR          5.7423e+00  1.4280e+00   4.0212 6.198e-05 ***      
                idGRC          7.3913e-01  1.1899e+00   0.6212 0.5346201          
                idHKG          5.9224e-01  1.1946e+00   0.4958 0.6201485          
                idHUN          6.3338e-01  1.1909e+00   0.5319 0.5949399          
                idIND         -1.7294e+01  7.9690e+00  -2.1702 0.0302109 *        
                idIRL          8.9004e-01  1.1985e+00   0.7426 0.4578896          
                idIRN          1.3795e+00  3.8075e+00   0.3623 0.7172021          
                idISR          1.5937e+00  1.1958e+00   1.3327 0.1829120          
                idITA          3.4258e+00  1.1877e+00   2.8844 0.0040008 **       
                idJPN          7.6802e+00  1.8778e+00   4.0900 4.639e-05 ***      
                idKOR          6.2483e+00  1.3146e+00   4.7530 2.279e-06 ***      
                idLUX          6.6506e-01  1.2037e+00   0.5525 0.5807033          
                idMEX         -1.2093e+00  1.2640e+00  -0.9567 0.3389450          
                idMYS          1.7277e-01  1.1762e+00   0.1469 0.8832469          
                idNLD          5.2781e+00  1.2011e+00   4.3943 1.222e-05 ***      
                idNOR          3.0330e+00  1.2013e+00   2.5248 0.0117199 *        
                idNZL          9.8595e-01  1.1984e+00   0.8227 0.4108709          
                idPHL         -9.0176e-01  1.2227e+00  -0.7375 0.4609646          
                idPOL          6.8860e-01  1.1731e+00   0.5870 0.5573266          
                idPRT          7.2269e-01  1.1904e+00   0.6071 0.5439207          
                idROU          2.8425e-01  1.1801e+00   0.2409 0.8097070          
                idRUS         -6.8282e-01  1.3724e+00  -0.4975 0.6189109          
                idSAU          2.0755e-01  1.1761e+00   0.1765 0.8599588          
                idSGP          2.4465e+00  1.2020e+00   2.0352 0.0420729 *        
                idSVK          5.8517e-01  1.1966e+00   0.4890 0.6249112          
                idSVN          5.4166e-01  1.2013e+00   0.4509 0.6521551          
                idSWE          2.3703e+00  1.1964e+00   1.9812 0.0478212 *        
                idTHA         -5.5787e-01  1.1870e+00  -0.4700 0.6384511          
                idTUR         -2.2437e-02  1.1922e+00  -0.0188 0.9849888          
                idTWN          2.8713e+00  1.1837e+00   2.4258 0.0154385 *        
                idUKR          3.0385e-01  1.1738e+00   0.2589 0.7957936          
                idUSA          4.1243e+00  2.3650e+00   1.7439 0.0814644 .        
                idVNM         -3.4212e-01  1.4554e+00  -0.2351 0.8141993          
                idZAF          4.3623e-02  1.1751e+00   0.0371 0.9703954          
                time1996      -1.9640e+00  1.0307e+00  -1.9056 0.0569699 .        
                time1997      -2.2600e+00  1.0317e+00  -2.1905 0.0287035 *        
                time1998      -1.9071e+00  1.0331e+00  -1.8460 0.0651658 .        
                time1999      -1.0693e+00  1.0338e+00  -1.0343 0.3012119          
                time2000      -1.4599e+00  1.0340e+00  -1.4119 0.1582660          
                time2001      -8.0459e-01  1.0377e+00  -0.7754 0.4382810          
                time2002      -1.1818e+00  1.0352e+00  -1.1416 0.2538739          
                time2003      -1.2675e+00  1.0394e+00  -1.2195 0.2229230          
                time2004      -1.0020e+00  1.0397e+00  -0.9637 0.3353951          
                time2005      -3.5771e-01  1.0409e+00  -0.3437 0.7311726          
                time2006       6.8438e-01  1.0458e+00   0.6544 0.5129731          
                time2007       1.0696e+00  1.0482e+00   1.0204 0.3077608          
                time2008       2.2636e+00  1.0514e+00   2.1529 0.0315484 *        
                time2009       2.2209e+00  1.0578e+00   2.0997 0.0359933 *        
                time2010       8.4376e-01  1.0601e+00   0.7959 0.4262594          
                time2011       1.1140e+00  1.0621e+00   1.0489 0.2944556          
                time2012      -1.4199e+00  1.0637e+00  -1.3348 0.1822277          
                time2013      -1.8562e+00  1.0595e+00  -1.7520 0.0800594 .        
                time2014      -9.4471e-01  1.0553e+00  -0.8952 0.3708685          
                time2015      -1.1598e+00  1.0552e+00  -1.0991 0.2719639          
                time2016       2.1456e-02  1.0666e+00   0.0201 0.9839536          
                time2017       9.3487e-01  1.0601e+00   0.8819 0.3780243          
                time2018      -1.5619e+00  1.0684e+00  -1.4619 0.1440694          
                time2019      -1.6336e+00  1.0739e+00  -1.5212 0.1285138          
                iis230         2.5157e+01  4.4024e+00   5.7142 1.429e-08 ***      
                iis240         1.1844e+01  4.7552e+00   2.4908 0.0128960 *        
                iis270         2.4333e+01  4.3875e+00   5.5460 3.685e-08 ***      
                iis277         3.3477e+01  4.7490e+00   7.0493 3.226e-12 ***      
                iis279         1.2079e+02  4.5986e+00  26.2664 < 2.2e-16 ***      
                iis280         4.3232e+01  4.7102e+00   9.1784 < 2.2e-16 ***      
                iis282        -7.6026e+01  4.6432e+00 -16.3736 < 2.2e-16 ***      
                iis285         5.4988e+01  4.6402e+00  11.8505 < 2.2e-16 ***      
                iis287         4.3854e+01  4.5931e+00   9.5479 < 2.2e-16 ***      
                iis288        -3.9725e+01  4.6004e+00  -8.6351 < 2.2e-16 ***      
                iis300         1.1127e+01  5.4565e+00   2.0393 0.0416686 *        
                iis301         3.5091e+01  5.1963e+00   6.7531 2.374e-11 ***      
                iis303         5.2259e+01  5.0400e+00  10.3687 < 2.2e-16 ***      
                iis305        -4.4055e+01  4.9150e+00  -8.9634 < 2.2e-16 ***      
                iis306        -4.6059e+01  4.7642e+00  -9.6678 < 2.2e-16 ***      
                iis309         4.6145e+01  4.7446e+00   9.7258 < 2.2e-16 ***      
                iis311         4.9157e+01  4.7578e+00  10.3319 < 2.2e-16 ***      
                iis312        -2.8237e+01  4.8213e+00  -5.8567 6.283e-09 ***      
                iis328         3.9291e+01  4.3932e+00   8.9437 < 2.2e-16 ***      
                iis329         4.5717e+01  4.3962e+00  10.3991 < 2.2e-16 ***      
                iis397         4.1011e+01  4.2724e+00   9.5989 < 2.2e-16 ***      
                iis399         2.6389e+01  4.4369e+00   5.9476 3.685e-09 ***      
                iis400         3.4966e+01  4.4449e+00   7.8664 8.912e-15 ***      
                iis401        -2.2789e+01  4.4759e+00  -5.0916 4.196e-07 ***      
                iis405        -2.7530e+01  4.4392e+00  -6.2017 7.978e-10 ***      
                iis608         5.1073e+01  5.0338e+00  10.1460 < 2.2e-16 ***      
                iis614         2.3959e+01  4.5095e+00   5.3130 1.313e-07 ***      
                iis615         6.6295e+01  4.4991e+00  14.7352 < 2.2e-16 ***      
                iis621        -1.2263e+01  5.0682e+00  -2.4197 0.0157008 *        
                iis623        -3.0269e+01  5.0356e+00  -6.0110 2.529e-09 ***      
                iis638         4.3742e+01  4.2005e+00  10.4136 < 2.2e-16 ***      
                iis1140        2.7825e+01  5.4990e+00   5.0599 4.937e-07 ***      
                iis1142        6.8353e+01  5.0395e+00  13.5635 < 2.2e-16 ***      
                iis1144       -1.6586e+01  5.5101e+00  -3.0101 0.0026733 **       
                iis1145       -1.2820e+01  5.1938e+00  -2.4684 0.0137288 *        
                iis1146        6.6812e+01  5.0701e+00  13.1778 < 2.2e-16 ***      
                iis1147       -4.1810e+01  5.1428e+00  -8.1298 1.185e-15 ***      
                iis1150        6.4461e+01  5.0346e+00  12.8036 < 2.2e-16 ***      
                iis1151       -3.1944e+01  5.0435e+00  -6.3337 3.522e-10 ***      
                iis1152       -1.7670e+01  5.0386e+00  -3.5070 0.0004721 ***      
                fesisCHN.2008  1.2999e+01  2.1138e+00   6.1496 1.096e-09 ***      
                fesisCHN.2016  1.7419e+01  2.8531e+00   6.1051 1.437e-09 ***      
                fesisDEU.1998  1.5321e+01  3.3523e+00   4.5701 5.443e-06 ***      
                fesisDEU.2006  4.0321e+01  2.9383e+00  13.7226 < 2.2e-16 ***      
                fesisDEU.2010 -1.7900e+01  3.3596e+00  -5.3278 1.212e-07 ***      
                fesisDNK.2006  3.4692e+01  4.3075e+00   8.0539 2.132e-15 ***      
                fesisDNK.2007  3.0101e+01  5.6179e+00   5.3581 1.030e-07 ***      
                fesisDNK.2012 -2.7618e+01  3.8270e+00  -7.2165 1.011e-12 ***      
                fesisESP.2011 -5.0559e+00  1.9316e+00  -2.6175 0.0089824 **       
                fesisGBR.2010  8.7874e+00  2.0859e+00   4.2127 2.736e-05 ***      
                fesisJPN.2003 -1.6310e+01  3.3492e+00  -4.8698 1.286e-06 ***      
                fesisJPN.2006  2.6765e+01  3.4405e+00   7.7794 1.714e-14 ***      
                fesisJPN.2013  1.8216e+01  3.0322e+00   6.0076 2.580e-09 ***      
                fesisJPN.2016 -2.3013e+01  3.7736e+00  -6.0985 1.496e-09 ***      
                fesisKOR.2019  2.1950e+01  4.2076e+00   5.2168 2.186e-07 ***      
                fesisUSA.2004  2.6674e+01  2.8373e+00   9.4011 < 2.2e-16 ***      
                fesisUSA.2007  6.8939e+01  4.5636e+00  15.1063 < 2.2e-16 ***      
                fesisUSA.2011 -7.6020e+01  4.2908e+00 -17.7170 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                     Chi-sq df p-value          
                Ljung-Box AR(1)     0.31662  1  0.5736          
                Ljung-Box ARCH(1) 135.68648  1  <2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression     4.06280      
                R-squared            0.99304      
                Log-lik.(n=1200) -3317.97335      

Log Count

0.01

                Formula: log_count~ lgdp + lpop      
                top_50 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Tue Jan  9 20:19:23 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 1200       
                Sample: 1 to 1200       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1            0.371503  0.025008 14.8556 < 2.2e-16 ***      
                lgdp          -0.416005  0.148951 -2.7929 0.0053146 **       
                lpop           0.197539  0.271238  0.7283 0.4665936          
                idAUS          1.336063  0.290959  4.5919 4.899e-06 ***      
                idAUT          0.949594  0.419125  2.2657 0.0236667 *        
                idBEL          0.902058  0.359584  2.5086 0.0122640 *        
                idBGR         -0.677525  0.458088 -1.4790 0.1394201          
                idBRA          0.695807  0.425313  1.6360 0.1021293          
                idCAN          1.730739  0.233615  7.4085 2.543e-13 ***      
                idCHE          1.080846  0.464274  2.3280 0.0200914 *        
                idCHL          2.267039  0.930006  2.4377 0.0149406 *        
                idCHN          1.127288  0.918226  1.2277 0.2198302          
                idCZE          0.921286  0.553325  1.6650 0.0961984 .        
                idDEU          3.286149  0.304239 10.8012 < 2.2e-16 ***      
                idDNK          1.914339  0.708048  2.7037 0.0069636 **       
                idESP          1.908478  0.163314 11.6860 < 2.2e-16 ***      
                idFIN          0.434667  0.523683  0.8300 0.4067084          
                idFRA          1.942755  0.233470  8.3212 2.561e-16 ***      
                idGBR          1.156209  0.294702  3.9233 9.277e-05 ***      
                idGRC         -0.041362  0.350808 -0.1179 0.9061652          
                idHKG          0.840918  0.585657  1.4359 0.1513290          
                idHUN          1.987090  0.818977  2.4263 0.0154137 *        
                idIND          1.552951  0.921483  1.6853 0.0922201 .        
                idIRL          0.169757  0.577338  0.2940 0.7687881          
                idIRN          3.847487  1.419431  2.7106 0.0068213 **       
                idISR          1.211063  0.507337  2.3871 0.0171507 *        
                idITA          1.629195  0.207157  7.8646 8.820e-15 ***      
                idJPN          3.444892  1.015640  3.3918 0.0007190 ***      
                idKOR          3.775893  1.120775  3.3690 0.0007806 ***      
                idLUX         -0.303672  1.113749 -0.2727 0.7851681          
                idMEX          1.152104  0.470453  2.4489 0.0144840 *        
                idMYS          0.099110  0.183471  0.5402 0.5891744          
                idNLD          1.617300  0.280271  5.7705 1.028e-08 ***      
                idNOR          1.984911  0.709413  2.7980 0.0052326 **       
                idNZL          0.328784  0.585333  0.5617 0.5744318          
                idPHL          1.015091  0.418388  2.4262 0.0154184 *        
                idPOL          0.452818  0.189770  2.3861 0.0171949 *        
                idPRT         -0.069345  0.362566 -0.1913 0.8483561          
                idROU         -0.166012  0.206938 -0.8022 0.4225948          
                idRUS          2.419781  0.678155  3.5682 0.0003750 ***      
                idSAU          0.450885  0.268391  1.6800 0.0932506 .        
                idSGP          0.081914  0.592191  0.1383 0.8900100          
                idSVK         -0.634153  0.535953 -1.1832 0.2369759          
                idSVN         -0.799463  0.769943 -1.0383 0.2993403          
                idSWE          2.041229  0.574799  3.5512 0.0003997 ***      
                idTHA          0.827296  0.370217  2.2346 0.0256429 *        
                idTUR          0.477188  0.193750  2.4629 0.0139345 *        
                idTWN          0.454001  0.260737  1.7412 0.0819246 .        
                idUKR          0.848333  0.233640  3.6309 0.0002954 ***      
                idUSA          2.729844  0.624880  4.3686 1.369e-05 ***      
                idVNM          2.995102  1.164259  2.5725 0.0102261 *        
                idZAF          0.955628  0.283989  3.3650 0.0007919 ***      
                time1996       7.549275  4.908786  1.5379 0.1243588          
                time1997       7.502022  4.912928  1.5270 0.1270502          
                time1998       7.585629  4.915527  1.5432 0.1230713          
                time1999       7.829335  4.919515  1.5915 0.1117886          
                time2000       7.717312  4.925571  1.5668 0.1174533          
                time2001       7.852624  4.928438  1.5933 0.1113744          
                time2002       7.803789  4.931752  1.5824 0.1138565          
                time2003       7.806160  4.935624  1.5816 0.1140302          
                time2004       7.851689  4.939451  1.5896 0.1122160          
                time2005       8.040629  4.944124  1.6263 0.1041731          
                time2006       8.222637  4.949897  1.6612 0.0969644 .        
                time2007       8.331776  4.954597  1.6816 0.0929261 .        
                time2008       8.419025  4.957387  1.6983 0.0897388 .        
                time2009       8.567981  4.957735  1.7282 0.0842330 .        
                time2010       8.485073  4.961794  1.7101 0.0875336 .        
                time2011       8.551135  4.965184  1.7222 0.0853117 .        
                time2012       8.427501  4.967283  1.6966 0.0900556 .        
                time2013       8.296854  4.969259  1.6696 0.0952767 .        
                time2014       8.358620  4.970780  1.6816 0.0929406 .        
                time2015       8.309947  4.973831  1.6707 0.0950596 .        
                time2016       8.337202  4.976745  1.6752 0.0941738 .        
                time2017       8.347827  4.980130  1.6762 0.0939787 .        
                time2018       8.273891  4.983009  1.6604 0.0971156 .        
                time2019       8.238072  4.985079  1.6525 0.0987094 .        
                iis31          1.288624  0.443337  2.9066 0.0037267 **       
                iis55         -1.733709  0.443118 -3.9125 9.695e-05 ***      
                iis83         -1.750743  0.442200 -3.9592 8.006e-05 ***      
                iis345         1.265529  0.442868  2.8576 0.0043496 **       
                iis363        -1.449495  0.442760 -3.2738 0.0010944 **       
                iis560        -1.356915  0.442639 -3.0655 0.0022261 **       
                iis580        -1.704054  0.443236 -3.8446 0.0001277 ***      
                iis788        -1.376290  0.443366 -3.1042 0.0019569 **       
                iis791        -1.397583  0.444056 -3.1473 0.0016922 **       
                iis792         1.159815  0.444412  2.6098 0.0091836 **       
                iis830        -1.957826  0.454447 -4.3082 1.794e-05 ***      
                iis1176       -1.818477  0.475707 -3.8227 0.0001394 ***      
                iis1198       -1.307387  0.442584 -2.9540 0.0032039 **       
                fesisCHN.2004  1.694087  0.247490  6.8451 1.269e-11 ***      
                fesisCHN.2010  0.731859  0.242802  3.0142 0.0026356 **       
                fesisDNK.1998  0.916255  0.342991  2.6714 0.0076662 **       
                fesisDNK.2006  0.872179  0.196348  4.4420 9.814e-06 ***      
                fesisGBR.2000  1.219862  0.240745  5.0670 4.739e-07 ***      
                fesisIND.2008  1.385068  0.195316  7.0914 2.374e-12 ***      
                fesisJPN.1999  1.481928  0.272021  5.4478 6.292e-08 ***      
                fesisKOR.2002  1.239606  0.211425  5.8631 6.006e-09 ***      
                fesisPOL.2009  0.704201  0.187881  3.7481 0.0001874 ***      
                fesisSGP.2007  1.732225  0.242643  7.1390 1.708e-12 ***      
                fesisSGP.2012 -1.305134  0.249369 -5.2337 1.989e-07 ***      
                fesisTWN.2003  1.022797  0.197990  5.1659 2.841e-07 ***      
                fesisUSA.2003  1.069591  0.200555  5.3332 1.172e-07 ***      
                fesisVNM.2014  1.165300  0.228980  5.0891 4.231e-07 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   15.101  1 0.0001019 ***      
                Ljung-Box ARCH(1) 10.370  1 0.0012811 **       
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.42849      
                R-squared           0.92290      
                Log-lik.(n=1200) -634.23909      
0.05

                Formula: log_count~ lgdp + lpop      
                top_50 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Tue Jan  9 19:58:17 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 1200       
                Sample: 1 to 1200       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1            0.382691  0.023494 16.2889 < 2.2e-16 ***      
                lgdp          -0.238454  0.136882 -1.7420 0.0817926 .        
                lpop          -0.039668  0.251438 -0.1578 0.8746726          
                idAUS          1.053435  0.265591  3.9664 7.791e-05 ***      
                idAUT          0.777192  0.389419  1.9958 0.0462160 *        
                idBEL          0.592465  0.334773  1.7698 0.0770581 .        
                idBGR         -0.699977  0.430694 -1.6252 0.1044131          
                idBRA          0.741718  0.397580  1.8656 0.0623782 .        
                idCAN          0.526323  0.336931  1.5621 0.1185633          
                idCHE          0.724907  0.429089  1.6894 0.0914371 .        
                idCHL          1.146464  0.852502  1.3448 0.1789723          
                idCHN          1.731675  0.865318  2.0012 0.0456274 *        
                idCZE          0.798300  0.538821  1.4816 0.1387547          
                idDEU          3.179853  0.283467 11.2177 < 2.2e-16 ***      
                idDNK          1.197054  0.646392  1.8519 0.0643200 .        
                idESP          0.953253  0.252520  3.7750 0.0001690 ***      
                idFIN          0.185032  0.487372  0.3797 0.7042799          
                idFRA          1.857308  0.215888  8.6031 < 2.2e-16 ***      
                idGBR          1.076158  0.268394  4.0096 6.511e-05 ***      
                idGRC         -0.163971  0.327512 -0.5007 0.6167181          
                idHKG          0.248238  0.539081  0.4605 0.6452647          
                idHUN          1.050723  0.747722  1.4052 0.1602473          
                idIND          1.582947  0.863575  1.8330 0.0670824 .        
                idIRL         -0.185960  0.539729 -0.3445 0.7305071          
                idIRN          2.328540  1.307663  1.7807 0.0752520 .        
                idISR          0.768636  0.469342  1.6377 0.1017856          
                idITA          1.204514  0.257342  4.6806 3.234e-06 ***      
                idJPN          2.476239  0.938444  2.6387 0.0084463 **       
                idKOR          2.705386  1.033228  2.6184 0.0089617 **       
                idLUX         -0.839722  1.039780 -0.8076 0.4195055          
                idMEX          0.863823  0.437290  1.9754 0.0484839 *        
                idMYS          0.113158  0.170841  0.6624 0.5078866          
                idNLD          1.414860  0.257169  5.5017 4.724e-08 ***      
                idNOR          1.237293  0.652072  1.8975 0.0580384 .        
                idNZL         -0.155504  0.548274 -0.2836 0.7767545          
                idPHL          0.745789  0.388297  1.9207 0.0550437 .        
                idPOL          0.380496  0.217802  1.7470 0.0809329 .        
                idPRT         -0.134846  0.337924 -0.3990 0.6899423          
                idROU         -0.123371  0.191168 -0.6454 0.5188408          
                idRUS          1.916285  0.629869  3.0424 0.0024056 **       
                idSAU          0.195675  0.245481  0.7971 0.4255659          
                idSGP         -0.241161  0.550385 -0.4382 0.6613540          
                idSVK         -0.659361  0.501478 -1.3148 0.1888519          
                idSVN         -0.956736  0.720686 -1.3275 0.1846200          
                idSWE          1.400744  0.526578  2.6601 0.0079308 **       
                idTHA          0.632280  0.342698  1.8450 0.0653179 .        
                idTUR          0.552699  0.178625  3.0942 0.0020256 **       
                idTWN          0.280677  0.236783  1.1854 0.2361361          
                idUKR          0.687400  0.217592  3.1591 0.0016276 **       
                idUSA          2.782994  0.588475  4.7292 2.561e-06 ***      
                idVNM          1.767285  1.073717  1.6460 0.1000726          
                idZAF          0.782224  0.261532  2.9909 0.0028460 **       
                time1996       6.915146  4.601174  1.5029 0.1331627          
                time1997       6.900358  4.606025  1.4981 0.1344032          
                time1998       6.946438  4.607958  1.5075 0.1319860          
                time1999       7.089957  4.612969  1.5370 0.1246034          
                time2000       7.038693  4.618043  1.5242 0.1277662          
                time2001       7.127954  4.621086  1.5425 0.1232566          
                time2002       7.147850  4.624512  1.5456 0.1224913          
                time2003       7.104151  4.628316  1.5349 0.1251011          
                time2004       7.151169  4.631902  1.5439 0.1229145          
                time2005       7.333239  4.636290  1.5817 0.1140177          
                time2006       7.458365  4.641662  1.6068 0.1083916          
                time2007       7.586223  4.646391  1.6327 0.1028286          
                time2008       7.686052  4.648637  1.6534 0.0985480 .        
                time2009       7.842432  4.649165  1.6868 0.0919292 .        
                time2010       7.777958  4.652733  1.6717 0.0948815 .        
                time2011       7.836793  4.655977  1.6832 0.0926392 .        
                time2012       7.711583  4.658062  1.6555 0.0981144 .        
                time2013       7.629623  4.660274  1.6372 0.1018957          
                time2014       7.627458  4.661422  1.6363 0.1020771          
                time2015       7.521013  4.663866  1.6126 0.1071284          
                time2016       7.618835  4.666202  1.6328 0.1028166          
                time2017       7.613032  4.669988  1.6302 0.1033578          
                time2018       7.528749  4.674308  1.6107 0.1075525          
                time2019       7.480719  4.676144  1.5998 0.1099516          
                iis4           1.115142  0.393589  2.8333 0.0046956 **       
                iis31          1.256737  0.394227  3.1878 0.0014756 **       
                iis51         -1.244302  0.394031 -3.1579 0.0016345 **       
                iis55         -1.842465  0.394400 -4.6716 3.376e-06 ***      
                iis77          1.147474  0.395094  2.9043 0.0037577 **       
                iis83         -1.586812  0.394880 -4.0185 6.275e-05 ***      
                iis84          1.040363  0.396797  2.6219 0.0088703 **       
                iis95          1.155791  0.395181  2.9247 0.0035217 **       
                iis96         -0.816741  0.396108 -2.0619 0.0394609 *        
                iis97          1.038829  0.396599  2.6193 0.0089367 **       
                iis140         1.304533  0.393337  3.3166 0.0009424 ***      
                iis218        -0.884941  0.422109 -2.0965 0.0362784 *        
                iis221        -0.936503  0.421628 -2.2212 0.0265524 *        
                iis223        -1.160340  0.422429 -2.7468 0.0061202 **       
                iis345         1.268933  0.393620  3.2238 0.0013041 **       
                iis363        -1.501483  0.393735 -3.8134 0.0001450 ***      
                iis419         1.316431  0.393812  3.3428 0.0008586 ***      
                iis474        -1.920347  0.471838 -4.0699 5.055e-05 ***      
                iis517         1.344247  0.394099  3.4109 0.0006720 ***      
                iis524         1.358804  0.394892  3.4410 0.0006024 ***      
                iis526        -1.018475  0.395010 -2.5784 0.0100622 *        
                iis544        -0.982829  0.393992 -2.4945 0.0127646 *        
                iis549        -0.831245  0.394850 -2.1052 0.0355090 *        
                iis560        -1.352132  0.394185 -3.4302 0.0006266 ***      
                iis563         0.922898  0.394144  2.3415 0.0193910 *        
                iis572        -1.021760  0.394670 -2.5889 0.0097613 **       
                iis580        -1.305772  0.421871 -3.0952 0.0020188 **       
                iis626        -1.078805  0.421575 -2.5590 0.0106368 *        
                iis711        -1.141264  0.394218 -2.8950 0.0038699 **       
                iis715        -0.920544  0.395326 -2.3286 0.0200705 *        
                iis717        -0.829531  0.395731 -2.0962 0.0363032 *        
                iis772         1.079858  0.397755  2.7149 0.0067384 **       
                iis774         1.212966  0.397520  3.0513 0.0023354 **       
                iis786        -1.041819  0.397697 -2.6196 0.0089292 **       
                iis788        -2.069308  0.431662 -4.7938 1.872e-06 ***      
                iis791        -2.141487  0.432350 -4.9531 8.503e-07 ***      
                iis830        -1.922799  0.403896 -4.7606 2.200e-06 ***      
                iis883        -0.863212  0.394082 -2.1904 0.0287116 *        
                iis1045       -1.058037  0.394062 -2.6850 0.0073680 **       
                iis1049       -0.978403  0.393540 -2.4862 0.0130673 *        
                iis1127       -1.128097  0.395444 -2.8527 0.0044194 **       
                iis1128        0.957099  0.396861  2.4117 0.0160500 *        
                iis1129       -1.118984  0.415987 -2.6900 0.0072594 **       
                iis1176       -1.846603  0.422996 -4.3655 1.393e-05 ***      
                iis1194       -1.133951  0.393703 -2.8802 0.0040546 **       
                iis1198       -1.355526  0.393865 -3.4416 0.0006010 ***      
                fesisCAN.1998  1.084020  0.285710  3.7941 0.0001566 ***      
                fesisCHN.2004  1.245743  0.245771  5.0687 4.729e-07 ***      
                fesisCHN.2010  0.595837  0.216886  2.7472 0.0061125 **       
                fesisCZE.1999 -0.554756  0.239209 -2.3191 0.0205791 *        
                fesisDNK.1998  0.963659  0.305231  3.1571 0.0016385 **       
                fesisDNK.2006  0.873092  0.175253  4.9819 7.356e-07 ***      
                fesisESP.1999  1.401945  0.444791  3.1519 0.0016679 **       
                fesisESP.2000 -1.164174  0.445198 -2.6150 0.0090514 **       
                fesisESP.2003  0.909522  0.243015  3.7427 0.0001919 ***      
                fesisGBR.2000  1.231272  0.214836  5.7312 1.301e-08 ***      
                fesisHUN.2013  0.680756  0.289194  2.3540 0.0187569 *        
                fesisHUN.2016 -1.011341  0.333748 -3.0303 0.0025032 **       
                fesisIND.2008  1.298093  0.174969  7.4190 2.427e-13 ***      
                fesisIRN.2019  0.881054  0.395086  2.2300 0.0259558 *        
                fesisITA.2002  0.450638  0.199817  2.2553 0.0243223 *        
                fesisJPN.1999  1.539408  0.242860  6.3387 3.432e-10 ***      
                fesisKOR.2002  1.005202  0.201325  4.9929 6.957e-07 ***      
                fesisNZL.2014  0.923268  0.218747  4.2207 2.646e-05 ***      
                fesisPOL.2001  1.175856  0.421745  2.7881 0.0053978 **       
                fesisPOL.2002 -1.380840  0.411504 -3.3556 0.0008202 ***      
                fesisPOL.2009  0.821804  0.193324  4.2509 2.318e-05 ***      
                fesisSGP.2007  1.703234  0.216765  7.8575 9.640e-15 ***      
                fesisSGP.2012 -1.313426  0.221965 -5.9173 4.424e-09 ***      
                fesisTWN.2003  1.018144  0.176718  5.7614 1.095e-08 ***      
                fesisUSA.2003  0.916061  0.188459  4.8608 1.347e-06 ***      
                fesisVNM.2014  1.099981  0.204228  5.3860 8.884e-08 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df  p-value          
                Ljung-Box AR(1)   12.4457  1 0.000419 ***      
                Ljung-Box ARCH(1)  2.1343  1 0.144040          
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.38077      
                R-squared           0.94161      
                Log-lik.(n=1200) -470.05758      

BATTERIES

oecd

Count

0.01

                Formula: count~ gdp + pop      
                oecd (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Tue Jan  9 19:16:47 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 936       
                Sample: 1 to 936       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            9.4660e-01  8.1563e-03 116.0583 < 2.2e-16 ***      
                gdp           -2.4813e-14  1.0572e-14  -2.3470 0.0191578 *        
                pop            5.1140e-07  5.7925e-08   8.8287 < 2.2e-16 ***      
                idAUT          8.6835e+00  3.3240e+00   2.6124 0.0091526 **       
                idBEL          4.8182e+00  3.2848e+00   1.4668 0.1427959          
                idCAN         -3.4969e+00  3.2855e+00  -1.0643 0.2874833          
                idCHE          7.0029e+00  3.3272e+00   2.1048 0.0356106 *        
                idCHL          4.3849e+00  3.5359e+00   1.2401 0.2152877          
                idCHN         -6.3008e+02  7.3971e+01  -8.5180 < 2.2e-16 ***      
                idCOL          2.4728e+00  7.3661e+00   0.3357 0.7371790          
                idCRI          7.8454e+00  3.3711e+00   2.3273 0.0201892 *        
                idCZE          4.5253e+00  3.2852e+00   1.3775 0.1687344          
                idDEU         -1.6041e+01  5.1161e+00  -3.1354 0.0017761 **       
                idDNK          7.1505e+00  3.3508e+00   2.1340 0.0331370 *        
                idESP         -1.2438e+01  3.4948e+00  -3.5588 0.0003935 ***      
                idEST          8.8284e+00  3.4192e+00   2.5820 0.0099919 **       
                idFIN          7.2491e+00  3.3548e+00   2.1608 0.0309944 *        
                idFRA         -1.2403e+01  3.9269e+00  -3.1583 0.0016438 **       
                idGRC          4.0220e+00  3.2796e+00   1.2264 0.2203995          
                idHUN          5.2995e+00  3.3022e+00   1.6048 0.1089095          
                idIRL          7.6106e+00  3.3681e+00   2.2596 0.0241035 *        
                idISL          9.4050e+00  3.4392e+00   2.7347 0.0063760 **       
                idISR          6.4257e+00  3.3341e+00   1.9273 0.0542837 .        
                idITA         -1.8597e+01  3.8709e+00  -4.8042 1.841e-06 ***      
                idJPN          1.5100e+02  1.0109e+01  14.9373 < 2.2e-16 ***      
                idKOR          3.2048e+01  1.1214e+01   2.8578 0.0043713 **       
                idLTU          7.8778e+00  3.3854e+00   2.3270 0.0202045 *        
                idLUX          9.3308e+00  3.4369e+00   2.7149 0.0067655 **       
                idLVA          8.4073e+00  3.4038e+00   2.4700 0.0137118 *        
                idMEX         -4.5699e+01  6.0475e+00  -7.5567 1.086e-13 ***      
                idNLD          1.9895e+00  3.2416e+00   0.6137 0.5395621          
                idNOR          7.5366e+00  3.3611e+00   2.2423 0.0252032 *        
                idNZL          7.3398e+00  3.3697e+00   2.1782 0.0296699 *        
                idPOL         -9.7929e+00  3.3814e+00  -2.8961 0.0038772 **       
                idPRT          4.2366e+00  3.2849e+00   1.2897 0.1974985          
                idSVK          6.8199e+00  3.3498e+00   2.0359 0.0420770 *        
                idSVN          8.5265e+00  3.4073e+00   2.5024 0.0125244 *        
                idSWE          6.0592e+00  3.3031e+00   1.8344 0.0669468 .        
                idTUR         -2.6538e+01  4.3602e+00  -6.0865 1.757e-09 ***      
                idTWN          5.3194e+00  3.2493e+00   1.6371 0.1019826          
                idUSA         -8.8866e+01  1.4958e+01  -5.9410 4.155e-09 ***      
                time1996      -9.4276e+00  3.0666e+00  -3.0743 0.0021788 **       
                time1997      -7.9895e+00  3.0744e+00  -2.5987 0.0095226 **       
                time1998      -1.1172e+01  3.0801e+00  -3.6270 0.0003041 ***      
                time1999      -9.0386e+00  3.0871e+00  -2.9279 0.0035055 **       
                time2000      -1.1387e+01  3.0860e+00  -3.6899 0.0002388 ***      
                time2001      -1.0163e+01  3.1052e+00  -3.2728 0.0011085 **       
                time2002      -1.2397e+01  3.1122e+00  -3.9834 7.386e-05 ***      
                time2003      -1.1608e+01  3.1225e+00  -3.7176 0.0002146 ***      
                time2004      -9.4022e+00  3.1440e+00  -2.9905 0.0028671 **       
                time2005      -1.0337e+01  3.1169e+00  -3.3165 0.0009507 ***      
                time2006      -1.1612e+01  3.1371e+00  -3.7014 0.0002285 ***      
                time2007      -6.3473e+00  3.1470e+00  -2.0170 0.0440180 *        
                time2008      -9.0882e+00  3.1483e+00  -2.8867 0.0039936 **       
                time2009      -4.9469e+00  3.1874e+00  -1.5520 0.1210337          
                time2010      -5.2505e+00  3.1807e+00  -1.6508 0.0991642 .        
                time2011      -9.1123e+00  3.1716e+00  -2.8730 0.0041684 **       
                time2012      -1.0878e+01  3.1712e+00  -3.4303 0.0006325 ***      
                time2013      -1.0768e+01  3.2220e+00  -3.3421 0.0008685 ***      
                time2014      -1.2019e+01  3.1916e+00  -3.7660 0.0001775 ***      
                time2015      -1.0937e+01  3.2109e+00  -3.4063 0.0006899 ***      
                time2016      -9.1416e+00  3.1755e+00  -2.8788 0.0040936 **       
                time2017      -4.3527e+00  3.1831e+00  -1.3675 0.1718507          
                time2018      -8.1370e+00  3.1636e+00  -2.5721 0.0102808 *        
                time2019      -1.2761e+01  3.1740e+00  -4.0205 6.332e-05 ***      
                iis165         1.0466e+02  1.3536e+01   7.7319 3.043e-14 ***      
                iis258        -1.6806e+02  1.3136e+01 -12.7941 < 2.2e-16 ***      
                iis260        -1.8161e+02  1.3093e+01 -13.8711 < 2.2e-16 ***      
                iis262         8.8604e+01  1.3095e+01   6.7665 2.481e-11 ***      
                iis529        -1.3478e+02  1.3218e+01 -10.1969 < 2.2e-16 ***      
                iis530        -1.3787e+02  1.3185e+01 -10.4567 < 2.2e-16 ***      
                iis531        -1.4771e+02  1.3159e+01 -11.2254 < 2.2e-16 ***      
                iis534        -2.0976e+02  1.3164e+01 -15.9346 < 2.2e-16 ***      
                iis535        -2.2906e+02  1.3116e+01 -17.4646 < 2.2e-16 ***      
                iis536        -1.1774e+02  1.3086e+01  -8.9971 < 2.2e-16 ***      
                iis537        -1.0175e+02  1.3097e+01  -7.7689 2.318e-14 ***      
                iis539        -9.6746e+01  1.3216e+01  -7.3206 5.803e-13 ***      
                iis541        -1.7729e+02  1.5373e+01 -11.5323 < 2.2e-16 ***      
                iis542         2.0583e+02  1.5713e+01  13.0991 < 2.2e-16 ***      
                iis543         6.3920e+02  1.4549e+01  43.9340 < 2.2e-16 ***      
                iis544         4.2672e+02  1.3098e+01  32.5784 < 2.2e-16 ***      
                iis545        -9.9329e+01  1.3472e+01  -7.3729 4.019e-13 ***      
                iis546        -3.4932e+02  1.3334e+01 -26.1969 < 2.2e-16 ***      
                iis550         2.8276e+02  1.6345e+01  17.2996 < 2.2e-16 ***      
                iis552        -5.8895e+02  1.6047e+01 -36.7015 < 2.2e-16 ***      
                iis561         1.5207e+02  1.1852e+01  12.8307 < 2.2e-16 ***      
                iis566         1.5603e+02  1.4209e+01  10.9813 < 2.2e-16 ***      
                iis567         1.8675e+02  1.3137e+01  14.2159 < 2.2e-16 ***      
                iis570         1.8836e+02  1.2324e+01  15.2847 < 2.2e-16 ***      
                iis571        -2.7038e+02  1.2529e+01 -21.5805 < 2.2e-16 ***      
                iis572        -2.7764e+02  1.2285e+01 -22.6002 < 2.2e-16 ***      
                iis930         1.7951e+02  1.1691e+01  15.3538 < 2.2e-16 ***      
                fesisCHN.2016  1.5134e+02  9.0684e+00  16.6888 < 2.2e-16 ***      
                fesisDEU.2009  1.0605e+02  6.9544e+00  15.2497 < 2.2e-16 ***      
                fesisDEU.2013 -3.8917e+01  8.7002e+00  -4.4731 8.773e-06 ***      
                fesisDEU.2019 -1.7550e+02  1.3158e+01 -13.3379 < 2.2e-16 ***      
                fesisJPN.2007  3.7559e+01  1.3269e+01   2.8306 0.0047569 **       
                fesisJPN.2008 -8.2971e+01  1.6180e+01  -5.1281 3.639e-07 ***      
                fesisJPN.2017  9.2861e+01  1.3575e+01   6.8407 1.523e-11 ***      
                fesisKOR.2009  1.5919e+02  1.1271e+01  14.1235 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                    Chi-sq df p-value          
                Ljung-Box AR(1)     1.6888  1  0.1938          
                Ljung-Box ARCH(1) 108.3823  1  <2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    11.18461      
                R-squared            0.99891      
                Log-lik.(n=936)  -3538.13452      
0.05

                Formula: count~ gdp + pop      
                oecd (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Tue Jan  9 19:16:41 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 936       
                Sample: 1 to 936       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            9.5416e-01  7.3072e-03 130.5789 < 2.2e-16 ***      
                gdp           -2.1609e-14  9.3493e-15  -2.3113 0.0210591 *        
                pop            4.7427e-07  5.0904e-08   9.3169 < 2.2e-16 ***      
                idAUT          8.1435e+00  2.9009e+00   2.8073 0.0051138 **       
                idBEL          4.4485e+00  2.8658e+00   1.5523 0.1209788          
                idCAN         -3.2601e+00  2.8660e+00  -1.1375 0.2556608          
                idCHE          6.4770e+00  2.9035e+00   2.2307 0.0259675 *        
                idCHL          3.8442e+00  3.0913e+00   1.2435 0.2140178          
                idCHN         -5.8334e+02  6.4989e+01  -8.9760 < 2.2e-16 ***      
                idCOL          1.4101e+00  6.4926e+00   0.2172 0.8281129          
                idCRI          7.2106e+00  2.9422e+00   2.4507 0.0144618 *        
                idCZE          4.1670e+00  2.8661e+00   1.4539 0.1463576          
                idDEU         -2.3413e+01  4.7570e+00  -4.9217 1.035e-06 ***      
                idDNK          6.6020e+00  2.9242e+00   2.2577 0.0242217 *        
                idESP         -1.1561e+01  3.0520e+00  -3.7881 0.0001628 ***      
                idEST          8.1559e+00  2.9845e+00   2.7328 0.0064144 **       
                idFIN          6.6927e+00  2.9277e+00   2.2860 0.0225071 *        
                idFRA         -1.1336e+01  3.4291e+00  -3.3059 0.0009876 ***      
                idGRC          3.7009e+00  2.8611e+00   1.2935 0.1961904          
                idHUN          4.8447e+00  2.8814e+00   1.6813 0.0930738 .        
                idIRL          7.0377e+00  2.9394e+00   2.3943 0.0168752 *        
                idISL          8.6882e+00  3.0021e+00   2.8940 0.0039032 **       
                idISR          5.8744e+00  2.9097e+00   2.0189 0.0438175 *        
                idITA         -1.7258e+01  3.3837e+00  -5.1005 4.203e-07 ***      
                idJPN          1.5940e+02  9.6663e+00  16.4907 < 2.2e-16 ***      
                idKOR          3.0671e+01  9.9206e+00   3.0917 0.0020569 **       
                idLTU          7.2745e+00  2.9546e+00   2.4621 0.0140153 *        
                idLUX          8.6202e+00  3.0001e+00   2.8733 0.0041661 **       
                idLVA          7.7654e+00  2.9709e+00   2.6138 0.0091162 **       
                idMEX         -4.2429e+01  5.3040e+00  -7.9994 4.205e-15 ***      
                idNLD          1.8031e+00  2.8277e+00   0.6376 0.5238801          
                idNOR          6.9642e+00  2.9332e+00   2.3742 0.0178124 *        
                idNZL          6.7600e+00  2.9408e+00   2.2987 0.0217689 *        
                idPOL         -9.1150e+00  2.9517e+00  -3.0880 0.0020823 **       
                idPRT          3.8955e+00  2.8658e+00   1.3593 0.1744205          
                idSVK          6.2949e+00  2.9232e+00   2.1534 0.0315730 *        
                idSVN          7.8743e+00  2.9740e+00   2.6478 0.0082569 **       
                idSWE          5.6049e+00  2.8821e+00   1.9447 0.0521455 .        
                idTUR         -2.4627e+01  3.8167e+00  -6.4523 1.873e-10 ***      
                idTWN          5.0069e+00  2.8352e+00   1.7660 0.0777608 .        
                idUSA         -8.7291e+01  1.3071e+01  -6.6781 4.436e-11 ***      
                time1996      -8.3545e+00  2.6780e+00  -3.1197 0.0018731 **       
                time1997      -6.9142e+00  2.6848e+00  -2.5753 0.0101872 *        
                time1998      -1.0099e+01  2.6897e+00  -3.7546 0.0001857 ***      
                time1999      -8.2285e+00  2.6959e+00  -3.0522 0.0023443 **       
                time2000      -1.0619e+01  2.6947e+00  -3.9407 8.810e-05 ***      
                time2001      -9.0734e+00  2.7117e+00  -3.3460 0.0008567 ***      
                time2002      -1.0603e+01  2.7279e+00  -3.8868 0.0001097 ***      
                time2003      -1.0507e+01  2.7268e+00  -3.8534 0.0001255 ***      
                time2004      -8.2233e+00  2.7455e+00  -2.9952 0.0028244 **       
                time2005      -8.6861e+00  2.7334e+00  -3.1777 0.0015395 **       
                time2006      -1.1577e+01  2.7456e+00  -4.2165 2.755e-05 ***      
                time2007      -6.3109e+00  2.7544e+00  -2.2912 0.0222002 *        
                time2008      -9.0862e+00  2.7552e+00  -3.2979 0.0010158 **       
                time2009      -7.1746e+00  2.7886e+00  -2.5729 0.0102588 *        
                time2010      -4.3861e+00  2.7773e+00  -1.5792 0.1146630          
                time2011      -7.5864e+00  2.7713e+00  -2.7375 0.0063234 **       
                time2012      -1.0987e+01  2.7756e+00  -3.9585 8.191e-05 ***      
                time2013      -1.0043e+01  2.8129e+00  -3.5704 0.0003770 ***      
                time2014      -1.1189e+01  2.7863e+00  -4.0156 6.467e-05 ***      
                time2015      -1.0118e+01  2.8032e+00  -3.6094 0.0003253 ***      
                time2016      -7.6332e+00  2.7742e+00  -2.7515 0.0060626 **       
                time2017      -5.2800e+00  2.7964e+00  -1.8881 0.0593568 .        
                time2018      -6.3399e+00  2.7709e+00  -2.2881 0.0223845 *        
                time2019      -1.1936e+01  2.7813e+00  -4.2913 1.986e-05 ***      
                iis165         2.5594e+02  1.0731e+01  23.8516 < 2.2e-16 ***      
                iis166         1.4771e+02  1.1010e+01  13.4161 < 2.2e-16 ***      
                iis167         1.3240e+02  1.1339e+01  11.6765 < 2.2e-16 ***      
                iis168         1.6716e+02  1.1735e+01  14.2446 < 2.2e-16 ***      
                iis258        -1.6828e+02  1.1460e+01 -14.6843 < 2.2e-16 ***      
                iis260        -1.8133e+02  1.1421e+01 -15.8769 < 2.2e-16 ***      
                iis262         9.1294e+01  1.1430e+01   7.9875 4.600e-15 ***      
                iis264        -1.7629e+02  1.1487e+01 -15.3473 < 2.2e-16 ***      
                iis529        -1.4493e+02  1.2175e+01 -11.9042 < 2.2e-16 ***      
                iis530        -1.4826e+02  1.2153e+01 -12.2001 < 2.2e-16 ***      
                iis531        -1.5829e+02  1.2136e+01 -13.0430 < 2.2e-16 ***      
                iis534        -1.8722e+02  1.3989e+01 -13.3831 < 2.2e-16 ***      
                iis535        -2.0672e+02  1.3981e+01 -14.7852 < 2.2e-16 ***      
                iis536        -9.4083e+01  1.3989e+01  -6.7256 3.258e-11 ***      
                iis537        -7.8465e+01  1.3984e+01  -5.6112 2.740e-08 ***      
                iis539        -7.3686e+01  1.4008e+01  -5.2602 1.833e-07 ***      
                iis541        -1.6861e+02  1.3507e+01 -12.4827 < 2.2e-16 ***      
                iis542         2.1753e+02  1.3843e+01  15.7145 < 2.2e-16 ***      
                iis543         6.4547e+02  1.2759e+01  50.5909 < 2.2e-16 ***      
                iis544         4.2690e+02  1.1426e+01  37.3633 < 2.2e-16 ***      
                iis545        -1.0104e+02  1.1767e+01  -8.5864 < 2.2e-16 ***      
                iis546        -3.5122e+02  1.1642e+01 -30.1692 < 2.2e-16 ***      
                iis550         2.8859e+02  1.4287e+01  20.1993 < 2.2e-16 ***      
                iis552        -5.8873e+02  1.4005e+01 -42.0384 < 2.2e-16 ***      
                iis559        -2.6911e+01  1.0332e+01  -2.6046 0.0093628 **       
                iis561         1.4926e+02  1.0378e+01  14.3822 < 2.2e-16 ***      
                iis566         1.9193e+02  1.2959e+01  14.8100 < 2.2e-16 ***      
                iis567         2.1687e+02  1.1950e+01  18.1481 < 2.2e-16 ***      
                iis569         6.0143e+01  1.1231e+01   5.3549 1.110e-07 ***      
                iis570         2.1389e+02  1.1145e+01  19.1909 < 2.2e-16 ***      
                iis571        -2.4731e+02  1.1289e+01 -21.9063 < 2.2e-16 ***      
                iis572        -2.5328e+02  1.1087e+01 -22.8445 < 2.2e-16 ***      
                iis574         9.0406e+01  1.1071e+01   8.1663 1.182e-15 ***      
                iis926         1.1687e+02  1.0167e+01  11.4950 < 2.2e-16 ***      
                iis930         1.8342e+02  1.0207e+01  17.9710 < 2.2e-16 ***      
                fesisDEU.2006  3.8589e+01  6.5282e+00   5.9111 4.965e-09 ***      
                fesisDEU.2009  7.4900e+01  7.7818e+00   9.6251 < 2.2e-16 ***      
                fesisDEU.2013 -4.1134e+01  7.5931e+00  -5.4172 7.940e-08 ***      
                fesisJPN.2001 -3.5817e+01  1.2160e+01  -2.9454 0.0033156 **       
                fesisJPN.2007  6.0274e+01  1.4032e+01   4.2956 1.949e-05 ***      
                fesisJPN.2008 -9.2952e+01  1.4242e+01  -6.5265 1.172e-10 ***      
                fesisJPN.2017  8.8575e+01  1.1867e+01   7.4638 2.129e-13 ***      
                fesisKOR.2009  1.2197e+02  1.0701e+01  11.3978 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df   p-value          
                Ljung-Box AR(1)   12.762  1 0.0003537 ***      
                Ljung-Box ARCH(1) 64.986  1 7.772e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression     9.75590      
                R-squared            0.99918      
                Log-lik.(n=936)  -3406.21454      

Log Count

0.01

                Formula: log_count~ lgdp + lpop      
                oecd (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Tue Jan  9 19:26:45 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 936       
                Sample: 1 to 936       
                      
                SPECIFIC mean equation:      
                      
                                    coef  std.error  t-stat   p-value          
                ar1             0.353809   0.028810 12.2807 < 2.2e-16 ***      
                lgdp           -0.070285   0.138562 -0.5072 0.6121136          
                lpop            0.916237   0.264485  3.4642 0.0005584 ***      
                idAUT           0.440395   0.328286  1.3415 0.1801178          
                idBEL           0.289922   0.266499  1.0879 0.2769524          
                idCAN           0.493493   0.158728  3.1090 0.0019396 **       
                idCHE           1.132620   0.301756  3.7534 0.0001863 ***      
                idCHL          -0.733105   0.640300 -1.1449 0.2525567          
                idCHN          -3.019309   1.115670 -2.7063 0.0069410 **       
                idCOL          -1.600245   0.831104 -1.9254 0.0545079 .        
                idCRI           0.499867   0.610970  0.8182 0.4134996          
                idCZE          -0.210556   0.266228 -0.7909 0.4292305          
                idDEU           0.328890   0.391697  0.8397 0.4013400          
                idDNK           1.304750   0.412535  3.1628 0.0016184 **       
                idESP          -1.041786   0.235503 -4.4237 1.097e-05 ***      
                idEST           0.840183   0.892613  0.9413 0.3468385          
                idFIN           0.671950   0.440243  1.5263 0.1273045          
                idFRA           0.352671   0.305448  1.1546 0.2485774          
                idGRC          -0.756805   0.332218 -2.2780 0.0229724 *        
                idHUN          -0.238382   0.497800 -0.4789 0.6321538          
                idIRL           0.540244   0.490082  1.1024 0.2706197          
                idISL           2.488341   1.124677  2.2125 0.0271983 *        
                idISR           1.158055   0.305631  3.7891 0.0001619 ***      
                idITA          -0.617976   0.285148 -2.1672 0.0304965 *        
                idJPN           1.996195   0.894468  2.2317 0.0258946 *        
                idKOR           1.541128   0.926203  1.6639 0.0964977 .        
                idLTU           0.054398   0.694409  0.0783 0.9375778          
                idLUX           2.494115   1.066449  2.3387 0.0195819 *        
                idLVA           0.412088   0.793610  0.5193 0.6037161          
                idMEX          -2.439892   0.514553 -4.7418 2.484e-06 ***      
                idNLD           0.249062   0.165217  1.5075 0.1320578          
                idNOR           0.764695   0.424809  1.8001 0.0722015 .        
                idNZL           0.696587   0.486475  1.4319 0.1525392          
                idPOL          -1.389687   0.195858 -7.0954 2.724e-12 ***      
                idPRT          -0.688696   0.344850 -1.9971 0.0461349 *        
                idSVK          -0.185865   0.542028 -0.3429 0.7317534          
                idSVN           0.770596   0.757847  1.0168 0.3095273          
                idSWE           0.827067   0.285022  2.9018 0.0038068 **       
                idTUR          -1.942647   0.352791 -5.5065 4.853e-08 ***      
                idTWN          -0.019643   0.193859 -0.1013 0.9193146          
                idUSA           0.299426   0.736352  0.4066 0.6843795          
                time1996      -12.363147   5.447495 -2.2695 0.0234877 *        
                time1997      -12.261602   5.452063 -2.2490 0.0247695 *        
                time1998      -12.353578   5.456130 -2.2642 0.0238158 *        
                time1999      -12.266727   5.459877 -2.2467 0.0249155 *        
                time2000      -12.092847   5.464592 -2.2129 0.0271670 *        
                time2001      -12.283816   5.466989 -2.2469 0.0249025 *        
                time2002      -12.369441   5.471248 -2.2608 0.0240239 *        
                time2003      -12.208744   5.475186 -2.2298 0.0260197 *        
                time2004      -12.289172   5.479306 -2.2428 0.0251651 *        
                time2005      -12.217028   5.483751 -2.2279 0.0261515 *        
                time2006      -12.252427   5.489973 -2.2318 0.0258899 *        
                time2007      -12.160045   5.494954 -2.2129 0.0271669 *        
                time2008      -12.014593   5.494829 -2.1865 0.0290497 *        
                time2009      -11.981945   5.491248 -2.1820 0.0293828 *        
                time2010      -11.808534   5.494659 -2.1491 0.0319094 *        
                time2011      -11.887849   5.497330 -2.1625 0.0308604 *        
                time2012      -11.953214   5.499277 -2.1736 0.0300114 *        
                time2013      -11.888085   5.501681 -2.1608 0.0309894 *        
                time2014      -11.901207   5.504845 -2.1620 0.0309010 *        
                time2015      -11.856979   5.508524 -2.1525 0.0316412 *        
                time2016      -11.832972   5.510353 -2.1474 0.0320437 *        
                time2017      -11.635626   5.514998 -2.1098 0.0351667 *        
                time2018      -11.692051   5.518312 -2.1188 0.0343998 *        
                time2019      -11.767201   5.520185 -2.1317 0.0333211 *        
                iis53          -1.447947   0.376604 -3.8447 0.0001297 ***      
                iis98          -2.004481   0.377073 -5.3159 1.358e-07 ***      
                iis104         -1.286001   0.376839 -3.4126 0.0006739 ***      
                iis145         -1.306299   0.411995 -3.1707 0.0015755 **       
                iis266         -1.986594   0.413180 -4.8081 1.803e-06 ***      
                iis270         -1.216616   0.379571 -3.2052 0.0014000 **       
                iis414          1.113758   0.376782  2.9560 0.0032032 **       
                iis443          1.091366   0.377728  2.8893 0.0039595 **       
                iis444         -1.109432   0.378808 -2.9287 0.0034945 **       
                iis446         -1.220608   0.377903 -3.2300 0.0012858 **       
                iis453         -1.387878   0.378551 -3.6663 0.0002614 ***      
                iis504         -1.316132   0.379329 -3.4696 0.0005474 ***      
                iis707         -1.025876   0.376797 -2.7226 0.0066096 **       
                fesisAUT.2006   0.888342   0.156467  5.6775 1.877e-08 ***      
                fesisCHN.2001   0.787192   0.237935  3.3084 0.0009777 ***      
                fesisCHN.2008   1.024407   0.206473  4.9615 8.455e-07 ***      
                fesisCRI.2008  -0.563464   0.157136 -3.5858 0.0003552 ***      
                fesisDEU.2006   0.818744   0.158317  5.1716 2.898e-07 ***      
                fesisDNK.2001  -0.587431   0.205426 -2.8596 0.0043462 **       
                fesisKOR.2004   0.996868   0.170082  5.8611 6.579e-09 ***      
                fesisLUX.2009  -0.676144   0.157732 -4.2867 2.022e-05 ***      
                fesisNZL.2016  -1.037533   0.206273 -5.0299 5.991e-07 ***      
                fesisTWN.2001   1.186147   0.192761  6.1535 1.168e-09 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df p-value      
                Ljung-Box AR(1)   2.1862  1  0.1393      
                Ljung-Box ARCH(1) 2.4126  1  0.1204      
                                                 
                SE of regression    0.36351      
                R-squared           0.97011      
                Log-lik.(n=936)  -336.92990      
0.05

                Formula: log_count~ lgdp + lpop      
                oecd (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Tue Jan  9 19:26:21 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 936       
                Sample: 1 to 936       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error  t-stat   p-value          
                ar1             0.3147634   0.0260583 12.0792 < 2.2e-16 ***      
                lgdp           -0.1793345   0.1323630 -1.3549 0.1758438          
                lpop            1.3104354   0.2572599  5.0938 4.385e-07 ***      
                idAUT           0.5985293   0.3260515  1.8357 0.0667765 .        
                idBEL          -0.0272619   0.2914341 -0.0935 0.9254950          
                idCAN           0.3168313   0.1424824  2.2237 0.0264518 *        
                idCHE           1.3322266   0.3003718  4.4353 1.049e-05 ***      
                idCHL          -0.0938506   0.5980766 -0.1569 0.8753471          
                idCHN          -4.3486149   1.1035210 -3.9407 8.839e-05 ***      
                idCOL          -1.3448117   0.8079343 -1.6645 0.0964048 .        
                idCRI           1.2467637   0.5632837  2.2134 0.0271540 *        
                idCZE           0.0490431   0.2418952  0.2027 0.8393860          
                idDEU           0.0061094   0.3724426  0.0164 0.9869166          
                idDNK           1.8411539   0.3866815  4.7614 2.284e-06 ***      
                idESP          -1.4360083   0.2187495 -6.5646 9.402e-11 ***      
                idEST           1.3185751   0.9013861  1.4628 0.1439084          
                idFIN           0.0189083   0.5284118  0.0358 0.9714642          
                idFRA          -0.0410840   0.2896467 -0.1418 0.8872409          
                idGRC          -0.7343840   0.3132703 -2.3442 0.0193104 *        
                idHUN           0.1807991   0.4576810  0.3950 0.6929243          
                idIRL           0.7229052   0.5151952  1.4032 0.1609568          
                idISL           4.4000650   1.1041862  3.9849 7.371e-05 ***      
                idISR           1.8389125   0.3519022  5.2256 2.219e-07 ***      
                idITA          -1.0246948   0.2713782 -3.7759 0.0001713 ***      
                idJPN           2.0504544   0.8862698  2.3136 0.0209448 *        
                idKOR           2.0131886   0.8989052  2.2396 0.0253922 *        
                idLTU           0.2201536   0.6988021  0.3150 0.7528106          
                idLUX           3.4827186   1.0695686  3.2562 0.0011770 **       
                idLVA           0.6202117   0.8018268  0.7735 0.4394571          
                idMEX          -2.6362518   0.5114829 -5.1541 3.217e-07 ***      
                idNLD           0.2322134   0.1568332  1.4806 0.1390985          
                idNOR           1.3061394   0.4019908  3.2492 0.0012060 **       
                idNZL           1.3178733   0.5058951  2.6050 0.0093580 **       
                idPOL          -1.7951753   0.1831521 -9.8016 < 2.2e-16 ***      
                idPRT          -0.7213550   0.3385321 -2.1308 0.0334089 *        
                idSVK          -0.1051880   0.5436305 -0.1935 0.8466233          
                idSVN           1.2345377   0.7652119  1.6133 0.1070697          
                idSWE           0.9395397   0.3095888  3.0348 0.0024853 **       
                idTUR          -2.6248517   0.3342648 -7.8526 1.317e-14 ***      
                idTWN           0.0742413   0.1762108  0.4213 0.6736344          
                idUSA          -0.4056231   0.7287480 -0.5566 0.5779553          
                time1996      -15.8766311   5.5266385 -2.8727 0.0041774 **       
                time1997      -15.7781412   5.5310962 -2.8526 0.0044484 **       
                time1998      -15.8793746   5.5345236 -2.8691 0.0042247 **       
                time1999      -15.8049977   5.5388073 -2.8535 0.0044362 **       
                time2000      -15.6379855   5.5437412 -2.8208 0.0049091 **       
                time2001      -15.7902034   5.5460995 -2.8471 0.0045258 **       
                time2002      -15.8821220   5.5489966 -2.8622 0.0043180 **       
                time2003      -15.6761466   5.5532326 -2.8229 0.0048781 **       
                time2004      -15.7314044   5.5573431 -2.8307 0.0047611 **       
                time2005      -15.6519591   5.5603108 -2.8149 0.0049991 **       
                time2006      -15.6130948   5.5642499 -2.8060 0.0051391 **       
                time2007      -15.6153236   5.5689781 -2.8040 0.0051704 **       
                time2008      -15.4946284   5.5702367 -2.7817 0.0055357 **       
                time2009      -15.4085943   5.5668222 -2.7679 0.0057723 **       
                time2010      -15.2207753   5.5705638 -2.7324 0.0064276 **       
                time2011      -15.2452116   5.5719171 -2.7361 0.0063561 **       
                time2012      -15.2973998   5.5735434 -2.7446 0.0061941 **       
                time2013      -15.2547496   5.5761721 -2.7357 0.0063633 **       
                time2014      -15.2351129   5.5785465 -2.7310 0.0064536 **       
                time2015      -15.2482679   5.5830608 -2.7312 0.0064507 **       
                time2016      -15.1986904   5.5855320 -2.7211 0.0066489 **       
                time2017      -15.0744719   5.5894295 -2.6970 0.0071455 **       
                time2018      -15.0565712   5.5923294 -2.6924 0.0072439 **       
                time2019      -15.2292420   5.5946308 -2.7221 0.0066283 **       
                iis3           -0.8488901   0.3104191 -2.7347 0.0063833 **       
                iis9           -0.9112933   0.3098721 -2.9409 0.0033678 **       
                iis53          -1.4896326   0.3112656 -4.7857 2.031e-06 ***      
                iis56          -1.1035826   0.3106077 -3.5530 0.0004033 ***      
                iis98          -1.9124045   0.3098114 -6.1728 1.068e-09 ***      
                iis99           0.6427906   0.3138265  2.0482 0.0408645 *        
                iis104         -1.2187883   0.3095504 -3.9373 8.963e-05 ***      
                iis123          0.7784055   0.3233900  2.4070 0.0163101 *        
                iis125          0.7377060   0.3232850  2.2819 0.0227580 *        
                iis145         -1.3396983   0.3384053 -3.9589 8.205e-05 ***      
                iis190         -0.8246008   0.3095365 -2.6640 0.0078783 **       
                iis199          0.8440194   0.3154120  2.6759 0.0076055 **       
                iis245         -0.6258458   0.3171211 -1.9735 0.0487815 *        
                iis266         -1.9618370   0.3390456 -5.7864 1.034e-08 ***      
                iis270         -1.2341659   0.3175269 -3.8868 0.0001100 ***      
                iis299         -0.7546790   0.3091587 -2.4411 0.0148606 *        
                iis335         -0.7389941   0.3098542 -2.3850 0.0173135 *        
                iis398          1.3573928   0.3208262  4.2309 2.598e-05 ***      
                iis414          1.2109133   0.3105676  3.8990 0.0001047 ***      
                iis420          0.9870410   0.3104419  3.1795 0.0015325 **       
                iis429         -1.3100979   0.3492714 -3.7509 0.0001889 ***      
                iis433          0.8137545   0.3203843  2.5399 0.0112764 *        
                iis444         -1.8169071   0.3723695 -4.8793 1.286e-06 ***      
                iis446         -1.2064512   0.3192435 -3.7791 0.0001692 ***      
                iis453         -1.4143851   0.3189635 -4.4343 1.053e-05 ***      
                iis493          1.2900741   0.3116645  4.1393 3.855e-05 ***      
                iis504         -1.1038740   0.3136850 -3.5191 0.0004577 ***      
                iis507         -0.7981917   0.3104284 -2.5713 0.0103135 *        
                iis621         -0.8132296   0.3211371 -2.5323 0.0115214 *        
                iis625          0.8202412   0.3153334  2.6012 0.0094627 **       
                iis627          0.8746062   0.3131488  2.7929 0.0053485 **       
                iis667         -1.1391234   0.3234764 -3.5215 0.0004535 ***      
                iis686         -0.9663986   0.3086779 -3.1308 0.0018072 **       
                iis701          1.0064718   0.3097749  3.2490 0.0012065 **       
                iis707         -1.0829482   0.3096093 -3.4978 0.0004951 ***      
                iis715         -0.9768200   0.3096686 -3.1544 0.0016687 **       
                iis741         -1.5432344   0.3135055 -4.9225 1.039e-06 ***      
                iis743         -1.1956489   0.3141742 -3.8057 0.0001523 ***      
                iis757          1.0729349   0.3087686  3.4749 0.0005387 ***      
                iis809         -0.7717160   0.3090791 -2.4968 0.0127322 *        
                iis832         -0.9540178   0.3087788 -3.0896 0.0020736 **       
                iis835         -1.0290801   0.3092721 -3.3274 0.0009168 ***      
                iis883          0.8571141   0.3117563  2.7493 0.0061075 **       
                iis888          1.7025782   0.4281592  3.9765 7.630e-05 ***      
                iis889         -0.9303478   0.3382522 -2.7505 0.0060863 **       
                fesisAUT.2006   0.7176561   0.1380495  5.1985 2.555e-07 ***      
                fesisAUT.2016   0.4686673   0.1793819  2.6127 0.0091530 **       
                fesisBEL.2000   0.4683882   0.1693803  2.7653 0.0058186 **       
                fesisCHL.2005  -0.4184232   0.1434527 -2.9168 0.0036358 **       
                fesisCHN.2001   0.7262364   0.2010872  3.6115 0.0003235 ***      
                fesisCHN.2007   0.9112002   0.1815733  5.0184 6.432e-07 ***      
                fesisCHN.2016   0.7937164   0.1892521  4.1940 3.049e-05 ***      
                fesisCRI.2008  -0.5957936   0.1355111 -4.3966 1.249e-05 ***      
                fesisDEU.2007   0.7540967   0.1333105  5.6567 2.152e-08 ***      
                fesisDNK.2001  -0.5686278   0.1801359 -3.1567 0.0016560 **       
                fesisDNK.2012  -1.1137297   0.2345967 -4.7474 2.443e-06 ***      
                fesisDNK.2014   1.1025714   0.2466913  4.4694 8.980e-06 ***      
                fesisFIN.1997   0.9186589   0.3091888  2.9712 0.0030558 **       
                fesisGRC.2009  -0.3978155   0.1369948 -2.9039 0.0037878 **       
                fesisHUN.2016   0.4815815   0.1902672  2.5311 0.0115627 *        
                fesisIRL.2006   0.8516592   0.2389876  3.5636 0.0003876 ***      
                fesisIRL.2009  -0.7842434   0.2368782 -3.3107 0.0009724 ***      
                fesisISL.2006  -0.6276827   0.1299255 -4.8311 1.629e-06 ***      
                fesisISR.2002  -0.5765265   0.1535700 -3.7542 0.0001866 ***      
                fesisKOR.2004   0.6960743   0.1762672  3.9490 8.544e-05 ***      
                fesisKOR.2009   0.4479136   0.1651686  2.7119 0.0068351 **       
                fesisLUX.2011  -0.7877565   0.1429477 -5.5108 4.826e-08 ***      
                fesisMEX.2005  -0.6733744   0.1552026 -4.3387 1.618e-05 ***      
                fesisMEX.2012   0.4010869   0.1625025  2.4682 0.0137890 *        
                fesisNZL.2004  -0.5591025   0.1386539 -4.0324 6.053e-05 ***      
                fesisPRT.2018  -0.6747069   0.2252518 -2.9953 0.0028264 **       
                fesisSWE.1999   1.2344607   0.3487419  3.5398 0.0004237 ***      
                fesisSWE.2000  -1.0127836   0.3099104 -3.2680 0.0011296 **       
                fesisTUR.2018  -0.7366071   0.3137239 -2.3479 0.0191211 *        
                fesisTWN.2001   0.9919298   0.1726328  5.7459 1.302e-08 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df p-value        
                Ljung-Box AR(1)   1.7172  1 0.19005        
                Ljung-Box ARCH(1) 6.0489  1 0.01391 *      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                 
                SE of regression    0.29797      
                R-squared           0.98115      
                Log-lik.(n=936)  -124.85976      

top_25

Count

0.01

                Formula: count~ gdp + pop      
                top_25 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Tue Jan  9 19:10:21 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            9.6087e-01  1.2790e-02  75.1283 < 2.2e-16 ***      
                gdp           -1.5854e-14  3.1075e-14  -0.5102 0.6101269          
                pop            4.4566e-08  3.8923e-08   1.1450 0.2527330          
                idAUT          2.4996e+00  6.6947e+00   0.3734 0.7090273          
                idBEL         -8.5570e-02  6.6873e+00  -0.0128 0.9897955          
                idBRA         -8.6319e+00  9.3754e+00  -0.9207 0.3576288          
                idCAN          1.6671e+00  6.6993e+00   0.2489 0.8035716          
                idCHE          5.9707e-01  6.6958e+00   0.0892 0.9289800          
                idCHN         -3.2565e+01  5.0332e+01  -0.6470 0.5179085          
                idDEU          2.7644e+01  7.7939e+00   3.5469 0.0004246 ***      
                idDNK         -1.7438e-01  6.7038e+00  -0.0260 0.9792574          
                idESP         -1.7189e+00  6.7343e+00  -0.2552 0.7986325          
                idFIN         -1.6012e-01  6.7035e+00  -0.0239 0.9809530          
                idFRA          6.4706e+00  6.9271e+00   0.9341 0.3506820          
                idGBR          3.0332e+00  6.8684e+00   0.4416 0.6589443          
                idIND         -5.0688e+01  4.5743e+01  -1.1081 0.2683264          
                idISR         -1.8410e-01  6.6972e+00  -0.0275 0.9780807          
                idITA         -1.2798e+00  6.8308e+00  -0.1874 0.8514508          
                idJPN          5.5553e+01  1.8007e+01   3.0850 0.0021423 **       
                idKOR          4.6643e+01  3.1610e+01   1.4755 0.1406634          
                idNLD         -3.0731e-01  6.6775e+00  -0.0460 0.9633107          
                idNOR         -1.1246e-01  6.7071e+00  -0.0168 0.9866284          
                idRUS         -5.1516e+00  8.2849e+00  -0.6218 0.5343381          
                idSGP          1.4691e-01  6.7056e+00   0.0219 0.9825294          
                idSWE          4.2076e-01  6.6923e+00   0.0629 0.9498928          
                idTWN          5.3310e+00  6.7049e+00   0.7951 0.4269187          
                idUSA          3.4254e+01  1.4087e+01   2.4315 0.0153676 *        
                time1996      -3.7431e+00  6.5849e+00  -0.5684 0.5699851          
                time1997      -5.5353e-01  6.5817e+00  -0.0841 0.9330080          
                time1998      -6.0254e+00  6.5826e+00  -0.9154 0.3604187          
                time1999      -3.8021e+00  6.6351e+00  -0.5730 0.5668726          
                time2000      -1.1583e-01  6.5736e+00  -0.0176 0.9859483          
                time2001      -6.0133e+00  6.5731e+00  -0.9148 0.3606990          
                time2002      -1.0101e+01  6.5760e+00  -1.5361 0.1251173          
                time2003      -4.5324e+00  6.5826e+00  -0.6885 0.4914112          
                time2004       6.0162e+00  6.5872e+00   0.9133 0.3614872          
                time2005       2.9836e+00  6.5878e+00   0.4529 0.6508070          
                time2006      -2.8640e+00  6.5931e+00  -0.4344 0.6641790          
                time2007       4.1768e+00  6.6659e+00   0.6266 0.5311980          
                time2008      -4.3484e+00  6.6105e+00  -0.6578 0.5109458          
                time2009       1.2523e+01  6.7413e+00   1.8577 0.0637736 .        
                time2010       1.1329e+01  6.7516e+00   1.6779 0.0939524 .        
                time2011       7.1052e+00  6.7135e+00   1.0583 0.2903849          
                time2012       3.9573e+00  6.7305e+00   0.5880 0.5568055          
                time2013      -7.0121e+00  6.8626e+00  -1.0218 0.3073537          
                time2014      -1.0926e+00  6.7628e+00  -0.1616 0.8717117          
                time2015      -5.0295e+00  6.7739e+00  -0.7425 0.4581286          
                time2016       2.6830e+00  6.7551e+00   0.3972 0.6913975          
                time2017       1.5514e+01  6.8153e+00   2.2763 0.0232281 *        
                time2018       6.3072e+00  6.8467e+00   0.9212 0.3573680          
                time2019      -9.7064e+00  6.8698e+00  -1.4129 0.1582722          
                iis165         2.8801e+02  2.4528e+01  11.7423 < 2.2e-16 ***      
                iis166         1.7086e+02  2.5297e+01   6.7545 3.801e-11 ***      
                iis167         1.6522e+02  2.5952e+01   6.3665 4.212e-10 ***      
                iis168         2.1141e+02  2.6688e+01   7.9215 1.402e-14 ***      
                iis388         1.8243e+02  2.4785e+01   7.3607 7.076e-13 ***      
                iis396         1.6294e+02  2.4784e+01   6.5743 1.178e-10 ***      
                iis398         2.1428e+02  3.0233e+01   7.0877 4.399e-12 ***      
                iis399         6.4409e+02  2.8895e+01  22.2904 < 2.2e-16 ***      
                iis400         4.2163e+02  2.7266e+01  15.4635 < 2.2e-16 ***      
                iis401        -1.0979e+02  2.7752e+01  -3.9562 8.656e-05 ***      
                iis402        -3.4759e+02  2.7586e+01 -12.6005 < 2.2e-16 ***      
                iis408        -5.7904e+02  3.3424e+01 -17.3243 < 2.2e-16 ***      
                iis422         1.6701e+02  2.8654e+01   5.8286 9.747e-09 ***      
                iis423         1.9340e+02  2.7083e+01   7.1410 3.092e-12 ***      
                iis426         1.9885e+02  2.5832e+01   7.6975 6.893e-14 ***      
                iis427        -2.7152e+02  2.5959e+01 -10.4595 < 2.2e-16 ***      
                iis428        -2.7138e+02  2.5561e+01 -10.6169 < 2.2e-16 ***      
                iis594         1.8971e+02  2.4280e+01   7.8138 3.029e-14 ***      
                fesisJPN.2009  6.3661e+01  2.2751e+01   2.7981 0.0053282 **       
                fesisJPN.2017  3.6436e+02  2.7283e+01  13.3546 < 2.2e-16 ***      
                fesisJPN.2018 -2.8327e+02  3.3766e+01  -8.3892 4.514e-16 ***      
                fesisKOR.2009  1.2251e+02  2.4285e+01   5.0445 6.266e-07 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    1.7841  1    0.1817          
                Ljung-Box ARCH(1) 23.5835  1 1.196e-06 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    23.12223      
                R-squared            0.99692      
                Log-lik.(n=600)  -2699.33970      
0.05

                Formula: count~ gdp + pop      
                top_25 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Tue Jan  9 19:10:18 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            9.4508e-01  1.2118e-02  77.9889 < 2.2e-16 ***      
                gdp           -8.5536e-14  4.8028e-14  -1.7810 0.0755195 .        
                pop            2.9709e-07  6.0267e-08   4.9295 1.119e-06 ***      
                idAUT          5.8310e+00  4.9523e+00   1.1774 0.2395786          
                idBEL          2.4709e+00  4.9246e+00   0.5017 0.6160624          
                idBRA         -5.1381e+01  1.1328e+01  -4.5357 7.177e-06 ***      
                idCAN         -8.9409e-01  4.9337e+00  -0.1812 0.8562676          
                idCHE          4.0254e+00  4.9548e+00   0.8124 0.4169328          
                idCHN         -3.5279e+02  7.6932e+01  -4.5857 5.709e-06 ***      
                idDEU         -1.5017e+00  6.9215e+00  -0.2170 0.8283271          
                idDNK          3.7689e+00  4.9748e+00   0.7576 0.4490370          
                idESP         -7.5782e+00  5.0797e+00  -1.4919 0.1363613          
                idFIN          3.7250e+00  4.9752e+00   0.7487 0.4543767          
                idFRA         -3.1601e+00  5.4621e+00  -0.5786 0.5631457          
                idGBR         -6.7190e+00  5.4257e+00  -1.2384 0.2161516          
                idIND         -3.0009e+02  6.2366e+01  -4.8118 1.977e-06 ***      
                idISR          3.3871e+00  4.9599e+00   0.6829 0.4949896          
                idITA         -1.0587e+01  5.3679e+00  -1.9723 0.0491171 *        
                idJPN          6.3804e+01  2.4080e+01   2.6496 0.0083103 **       
                idKOR          2.5610e+02  5.5329e+01   4.6286 4.684e-06 ***      
                idNLD          8.8560e-01  4.8939e+00   0.1810 0.8564723          
                idNOR          4.0587e+00  4.9842e+00   0.8143 0.4158514          
                idRUS         -3.1510e+01  9.1021e+00  -3.4618 0.0005820 ***      
                idSGP          4.2099e+00  4.9830e+00   0.8449 0.3985913          
                idSWE          3.6094e+00  4.9417e+00   0.7304 0.4654830          
                idTWN          5.6810e+00  4.9195e+00   1.1548 0.2487200          
                idUSA         -2.7395e+01  1.6732e+01  -1.6373 0.1021956          
                time1996      -6.3427e+00  4.9230e+00  -1.2884 0.1982069          
                time1997      -3.0755e+00  4.9357e+00  -0.6231 0.5334919          
                time1998      -8.1282e+00  4.9462e+00  -1.6433 0.1009368          
                time1999      -7.6021e+00  5.0003e+00  -1.5203 0.1290543          
                time2000      -8.2580e+00  5.0184e+00  -1.6455 0.1004777          
                time2001      -7.9821e+00  5.0110e+00  -1.5929 0.1118030          
                time2002      -1.0268e+01  5.0344e+00  -2.0395 0.0419171 *        
                time2003      -1.0249e+01  5.0523e+00  -2.0285 0.0430339 *        
                time2004      -3.5761e+00  5.0018e+00  -0.7150 0.4749621          
                time2005      -7.4413e+00  5.0468e+00  -1.4744 0.1409831          
                time2006      -5.4429e+00  5.0025e+00  -1.0880 0.2770994          
                time2007      -8.7195e-01  5.0825e+00  -0.1716 0.8638524          
                time2008      -6.9020e+00  5.0216e+00  -1.3745 0.1699064          
                time2009       4.2914e+00  5.0430e+00   0.8509 0.3951997          
                time2010       3.0767e+00  5.0493e+00   0.6093 0.5425757          
                time2011      -1.9091e+00  5.0533e+00  -0.3778 0.7057437          
                time2012      -5.0351e+00  5.0645e+00  -0.9942 0.3206030          
                time2013      -6.6113e+00  5.1988e+00  -1.2717 0.2040656          
                time2014      -7.6552e+00  5.0919e+00  -1.5034 0.1333583          
                time2015      -4.9464e+00  5.1555e+00  -0.9595 0.3377900          
                time2016      -3.9189e+00  5.0881e+00  -0.7702 0.4415390          
                time2017       8.8828e+00  5.1352e+00   1.7298 0.0842812 .        
                time2018      -2.0824e-02  5.1523e+00  -0.0040 0.9967768          
                time2019      -1.5916e+01  5.1728e+00  -3.0769 0.0022050 **       
                iis165         2.7600e+02  1.8305e+01  15.0783 < 2.2e-16 ***      
                iis166         1.6189e+02  1.8993e+01   8.5238 < 2.2e-16 ***      
                iis167         1.5762e+02  1.9636e+01   8.0269 7.037e-15 ***      
                iis168         2.0538e+02  2.0365e+01  10.0849 < 2.2e-16 ***      
                iis186        -1.4955e+02  1.9010e+01  -7.8666 2.222e-14 ***      
                iis188        -1.6482e+02  1.8943e+01  -8.7008 < 2.2e-16 ***      
                iis388         2.6424e+02  2.1478e+01  12.3024 < 2.2e-16 ***      
                iis389         1.9487e+02  2.1202e+01   9.1910 < 2.2e-16 ***      
                iis394         1.1337e+02  1.9357e+01   5.8568 8.501e-09 ***      
                iis396         1.7196e+02  1.9360e+01   8.8823 < 2.2e-16 ***      
                iis398         1.9752e+02  2.3582e+01   8.3759 5.427e-16 ***      
                iis399         6.3348e+02  2.1986e+01  28.8128 < 2.2e-16 ***      
                iis400         4.2318e+02  1.9979e+01  21.1816 < 2.2e-16 ***      
                iis401        -1.0043e+02  2.0539e+01  -4.8897 1.359e-06 ***      
                iis402        -3.4828e+02  2.0359e+01 -17.1069 < 2.2e-16 ***      
                iis406         3.6850e+02  1.9977e+01  18.4463 < 2.2e-16 ***      
                iis407         9.1660e+01  2.0638e+01   4.4414 1.098e-05 ***      
                iis408        -4.8604e+02  2.0947e+01 -23.2029 < 2.2e-16 ***      
                iis409        -1.7079e+02  2.9997e+01  -5.6934 2.113e-08 ***      
                iis410        -1.7756e+02  2.8815e+01  -6.1621 1.466e-09 ***      
                iis411        -1.9831e+02  2.9881e+01  -6.6365 8.282e-11 ***      
                iis412        -1.6402e+02  2.7742e+01  -5.9123 6.211e-09 ***      
                iis413        -1.6691e+02  2.6252e+01  -6.3579 4.574e-10 ***      
                iis414        -1.2933e+02  2.5563e+01  -5.0595 5.890e-07 ***      
                iis415        -1.7766e+02  2.4777e+01  -7.1705 2.666e-12 ***      
                iis416        -1.3022e+02  2.4558e+01  -5.3025 1.710e-07 ***      
                iis418        -9.1265e+01  2.4575e+01  -3.7138 0.0002269 ***      
                iis420         5.2211e+01  2.1187e+01   2.4643 0.0140592 *        
                iis422         1.2977e+02  2.5629e+01   5.0636 5.773e-07 ***      
                iis423         1.6746e+02  2.2579e+01   7.4164 5.108e-13 ***      
                iis426         1.8256e+02  1.9654e+01   9.2890 < 2.2e-16 ***      
                iis427        -2.7284e+02  1.9481e+01 -14.0056 < 2.2e-16 ***      
                iis428        -2.7919e+02  1.8798e+01 -14.8522 < 2.2e-16 ***      
                iis594         1.8377e+02  1.7857e+01  10.2910 < 2.2e-16 ***      
                fesisDEU.2009  1.0200e+02  1.0461e+01   9.7501 < 2.2e-16 ***      
                fesisDEU.2013 -5.3682e+01  1.1716e+01  -4.5821 5.804e-06 ***      
                fesisIND.2004 -3.5725e+01  1.2105e+01  -2.9513 0.0033117 **       
                fesisIND.2009 -3.7628e+01  1.2236e+01  -3.0751 0.0022177 **       
                fesisJPN.1999 -7.6312e+01  1.6326e+01  -4.6743 3.788e-06 ***      
                fesisJPN.2003  8.4606e+01  1.5016e+01   5.6345 2.918e-08 ***      
                fesisJPN.2009  9.1494e+01  1.9671e+01   4.6512 4.218e-06 ***      
                fesisKOR.2006 -1.7302e+02  2.2464e+01  -7.7021 7.103e-14 ***      
                fesisKOR.2009  2.1736e+02  2.4564e+01   8.8487 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                    Chi-sq df  p-value         
                Ljung-Box AR(1)   0.017737  1 0.894049         
                Ljung-Box ARCH(1) 8.293489  1 0.003979 **      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    16.92184      
                R-squared            0.99842      
                Log-lik.(n=600)  -2501.52628      

Log Count

0.01

                Formula: log_count~ lgdp + lpop      
                top_25 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Tue Jan  9 19:18:47 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1            0.246771  0.035776  6.8976 1.517e-11 ***      
                lgdp           1.524934  0.140902 10.8227 < 2.2e-16 ***      
                lpop          -2.921803  0.448591 -6.5133 1.715e-10 ***      
                idAUT         -0.433131  0.367607 -1.1782 0.2392294          
                idBEL         -0.180026  0.279094 -0.6450 0.5191843          
                idBRA          4.262242  0.919723  4.6343 4.518e-06 ***      
                idCAN          2.126291  0.230344  9.2310 < 2.2e-16 ***      
                idCHE         -1.261275  0.412062 -3.0609 0.0023191 **       
                idCHN          9.154788  1.680717  5.4470 7.867e-08 ***      
                idDEU          5.328728  0.609653  8.7406 < 2.2e-16 ***      
                idDNK         -4.060320  0.646981 -6.2758 7.258e-10 ***      
                idESP          2.335836  0.366067  6.3809 3.854e-10 ***      
                idFIN         -1.499006  0.539989 -2.7760 0.0056987 **       
                idFRA          4.299226  0.506224  8.4927 < 2.2e-16 ***      
                idGBR          3.998604  0.496779  8.0491 5.555e-15 ***      
                idIND          5.892144  1.588410  3.7095 0.0002297 ***      
                idISR         -2.183888  0.458376 -4.7644 2.451e-06 ***      
                idITA          3.131585  0.461836  6.7807 3.211e-11 ***      
                idJPN          0.089857  0.771651  0.1164 0.9073415          
                idKOR         -4.925875  0.764412 -6.4440 2.625e-10 ***      
                idNLD          0.988722  0.164286  6.0183 3.299e-09 ***      
                idNOR         -6.103362  0.738629 -8.2631 1.152e-15 ***      
                idRUS          0.144306  0.765375  0.1885 0.8505232          
                idSGP         -2.352583  0.600377 -3.9185 0.0001008 ***      
                idSWE         -3.806505  0.459157 -8.2902 9.423e-16 ***      
                idTWN          1.450542  0.196472  7.3829 6.066e-13 ***      
                idUSA          7.132236  1.091614  6.5337 1.513e-10 ***      
                time1996       7.621103  6.390605  1.1925 0.2335821          
                time1997       7.905832  6.393493  1.2365 0.2168064          
                time1998       7.682641  6.396800  1.2010 0.2302846          
                time1999       7.782462  6.398869  1.2162 0.2244428          
                time2000       7.867763  6.401947  1.2290 0.2196327          
                time2001       7.885478  6.405991  1.2310 0.2188883          
                time2002       7.721645  6.409280  1.2048 0.2288356          
                time2003       7.822894  6.411406  1.2202 0.2229517          
                time2004       7.827165  6.413949  1.2203 0.2228828          
                time2005       7.976289  6.416845  1.2430 0.2144108          
                time2006       8.025372  6.420299  1.2500 0.2118534          
                time2007       8.126669  6.425901  1.2647 0.2065462          
                time2008       8.142272  6.429816  1.2663 0.2059531          
                time2009       8.382291  6.433992  1.3028 0.1932064          
                time2010       8.525861  6.436804  1.3245 0.1858938          
                time2011       8.611992  6.439718  1.3373 0.1816926          
                time2012       8.553862  6.442892  1.3276 0.1848697          
                time2013       8.635493  6.445970  1.3397 0.1809280          
                time2014       8.528237  6.448482  1.3225 0.1865681          
                time2015       8.550074  6.451635  1.3253 0.1856591          
                time2016       8.693603  6.454456  1.3469 0.1785855          
                time2017       8.777364  6.457099  1.3593 0.1746206          
                time2018       8.861575  6.459577  1.3719 0.1706925          
                time2019       8.672866  6.459892  1.3426 0.1799877          
                iis53         -1.190491  0.342138 -3.4796 0.0005437 ***      
                iis94         -1.392602  0.375532 -3.7083 0.0002307 ***      
                iis122        -1.931587  0.342572 -5.6385 2.798e-08 ***      
                iis128        -1.029156  0.342624 -3.0037 0.0027932 **       
                iis145        -1.060056  0.353366 -2.9999 0.0028283 **       
                iis194        -1.999478  0.376969 -5.3041 1.668e-07 ***      
                iis198        -1.073290  0.346056 -3.1015 0.0020284 **       
                iis210        -1.353669  0.345505 -3.9179 0.0001010 ***      
                iis349         1.205247  0.341895  3.5252 0.0004600 ***      
                iis360        -1.211967  0.346907 -3.4936 0.0005165 ***      
                iis461         1.149831  0.342457  3.3576 0.0008429 ***      
                iis467        -1.089619  0.342330 -3.1829 0.0015437 **       
                iis532         1.253746  0.341736  3.6688 0.0002685 ***      
                fesisAUT.2009  0.664445  0.141181  4.7063 3.226e-06 ***      
                fesisBRA.2010 -0.926534  0.177867 -5.2091 2.724e-07 ***      
                fesisBRA.2015  0.909633  0.225222  4.0388 6.169e-05 ***      
                fesisDNK.2001 -0.895692  0.188866 -4.7425 2.720e-06 ***      
                fesisNLD.2007 -0.638959  0.141474 -4.5164 7.764e-06 ***      
                fesisRUS.2007 -0.565524  0.166860 -3.3892 0.0007533 ***      
                fesisRUS.2015 -0.722330  0.193241 -3.7380 0.0002058 ***      
                fesisTWN.2001  0.899113  0.174595  5.1497 3.689e-07 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df p-value      
                Ljung-Box AR(1)   0.37830  1  0.5385      
                Ljung-Box ARCH(1) 0.98856  1  0.3201      
                                                 
                SE of regression    0.32751      
                R-squared           0.97308      
                Log-lik.(n=600)  -145.61293      
0.05

                Formula: log_count~ lgdp + lpop      
                top_25 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Tue Jan  9 19:18:46 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 600       
                Sample: 1 to 600       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1            0.217060  0.033255  6.5272 1.626e-10 ***      
                lgdp           1.471397  0.128246 11.4732 < 2.2e-16 ***      
                lpop          -2.404654  0.453296 -5.3048 1.687e-07 ***      
                idAUT         -0.071937  0.381449 -0.1886 0.8504910          
                idBEL          0.118483  0.288253  0.4110 0.6812186          
                idBRA          3.434148  0.943319  3.6405 0.0003000 ***      
                idCAN          1.912122  0.224336  8.5235 < 2.2e-16 ***      
                idCHE         -0.814969  0.426596 -1.9104 0.0566442 .        
                idCHN          7.225439  1.728431  4.1803 3.428e-05 ***      
                idDEU          4.466606  0.630165  7.0880 4.575e-12 ***      
                idDNK         -3.683054  0.644472 -5.7148 1.873e-08 ***      
                idESP          1.886125  0.363451  5.1895 3.054e-07 ***      
                idFIN         -0.696831  0.559270 -1.2460 0.2133513          
                idFRA          3.772906  0.504600  7.4770 3.358e-13 ***      
                idGBR          3.462092  0.495358  6.9891 8.735e-12 ***      
                idIND          4.013521  1.652206  2.4292 0.0154784 *        
                idISR         -1.268750  0.521748 -2.4317 0.0153716 *        
                idITA          2.593900  0.464057  5.5896 3.719e-08 ***      
                idJPN         -0.408358  0.776975 -0.5256 0.5994137          
                idKOR         -4.920756  0.711429 -6.9167 1.395e-11 ***      
                idNLD          0.989840  0.160603  6.1633 1.453e-09 ***      
                idNOR         -5.327133  0.731341 -7.2841 1.243e-12 ***      
                idRUS         -0.784223  0.803218 -0.9764 0.3293549          
                idSGP         -1.676345  0.620250 -2.7027 0.0071083 **       
                idSWE         -3.365730  0.447900 -7.5145 2.597e-13 ***      
                idTWN          1.522214  0.190486  7.9912 9.041e-15 ***      
                idUSA          5.971773  1.113935  5.3610 1.258e-07 ***      
                time1996       0.454989  6.711250  0.0678 0.9459756          
                time1997       0.765371  6.717116  0.1139 0.9093277          
                time1998       0.494340  6.717216  0.0736 0.9413632          
                time1999       0.671126  6.719857  0.0999 0.9204852          
                time2000       0.704421  6.721363  0.1048 0.9165732          
                time2001       0.742334  6.725276  0.1104 0.9121518          
                time2002       0.588826  6.726379  0.0875 0.9302769          
                time2003       0.721597  6.728821  0.1072 0.9146411          
                time2004       0.748190  6.732799  0.1111 0.9115602          
                time2005       0.860526  6.736705  0.1277 0.8984077          
                time2006       0.920436  6.737932  0.1366 0.8913970          
                time2007       0.992220  6.745332  0.1471 0.8831136          
                time2008       1.003973  6.749613  0.1487 0.8818137          
                time2009       1.277431  6.752896  0.1892 0.8500367          
                time2010       1.389912  6.755497  0.2057 0.8370723          
                time2011       1.479893  6.757937  0.2190 0.8267490          
                time2012       1.460775  6.760890  0.2161 0.8290258          
                time2013       1.501795  6.763873  0.2220 0.8243783          
                time2014       1.428886  6.766385  0.2112 0.8328361          
                time2015       1.396493  6.770077  0.2063 0.8366593          
                time2016       1.574094  6.773279  0.2324 0.8163228          
                time2017       1.635346  6.775602  0.2414 0.8093750          
                time2018       1.736205  6.777717  0.2562 0.7979281          
                time2019       1.549970  6.778114  0.2287 0.8192153          
                iis9          -0.828839  0.307578 -2.6947 0.0072780 **       
                iis53         -1.226885  0.308621 -3.9754 8.046e-05 ***      
                iis56         -0.899153  0.308039 -2.9190 0.0036678 **       
                iis94         -1.000809  0.369474 -2.7087 0.0069819 **       
                iis122        -1.908505  0.307573 -6.2051 1.136e-09 ***      
                iis128        -1.037235  0.307268 -3.3757 0.0007927 ***      
                iis145        -1.106686  0.317444 -3.4862 0.0005323 ***      
                iis193         0.902430  0.330813  2.7279 0.0065943 **       
                iis194        -1.675070  0.334136 -5.0131 7.409e-07 ***      
                iis198        -1.657889  0.329114 -5.0374 6.568e-07 ***      
                iis209        -0.935290  0.310041 -3.0167 0.0026838 **       
                iis210        -1.360222  0.311444 -4.3675 1.524e-05 ***      
                iis243         0.777314  0.328233  2.3682 0.0182493 *        
                iis316        -0.727896  0.308234 -2.3615 0.0185772 *        
                iis346        -0.688425  0.310448 -2.2175 0.0270292 *        
                iis349         1.315510  0.309662  4.2482 2.564e-05 ***      
                iis360        -1.185633  0.312482 -3.7942 0.0001659 ***      
                iis437         0.692918  0.314810  2.2011 0.0281801 *        
                iis446        -0.823439  0.311926 -2.6399 0.0085493 **       
                iis461         1.158041  0.307499  3.7660 0.0001853 ***      
                iis467        -1.128416  0.306972 -3.6760 0.0002622 ***      
                iis475        -0.909306  0.306804 -2.9638 0.0031812 **       
                iis490         0.809941  0.316282  2.5608 0.0107303 *        
                iis506        -0.870961  0.312267 -2.7892 0.0054829 **       
                iis532         1.225724  0.306541  3.9986 7.319e-05 ***      
                iis553        -0.735390  0.335585 -2.1914 0.0288786 *        
                fesisAUT.2009  0.693553  0.127573  5.4365 8.452e-08 ***      
                fesisBEL.2016 -0.895130  0.308138 -2.9050 0.0038330 **       
                fesisBEL.2017  0.954425  0.346042  2.7581 0.0060231 **       
                fesisBRA.1999 -0.414610  0.197085 -2.1037 0.0358950 *        
                fesisBRA.2010 -0.874191  0.164699 -5.3078 1.661e-07 ***      
                fesisBRA.2015  1.261740  0.251786  5.0112 7.482e-07 ***      
                fesisBRA.2017 -0.705723  0.300501 -2.3485 0.0192322 *        
                fesisDEU.2007  0.468318  0.132046  3.5466 0.0004263 ***      
                fesisDNK.2004 -0.629291  0.158169 -3.9786 7.941e-05 ***      
                fesisFIN.2002 -0.373449  0.154428 -2.4183 0.0159448 *        
                fesisISR.2002 -0.514473  0.159242 -3.2308 0.0013146 **       
                fesisNLD.2007 -0.522963  0.133170 -3.9270 9.788e-05 ***      
                fesisRUS.2007 -0.434117  0.155367 -2.7941 0.0054006 **       
                fesisRUS.2015 -0.719071  0.173383 -4.1473 3.943e-05 ***      
                fesisTWN.2001  0.777933  0.170876  4.5526 6.639e-06 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                     Chi-sq df  p-value         
                Ljung-Box AR(1)   0.0072035  1 0.932362         
                Ljung-Box ARCH(1) 7.0140103  1 0.008087 **      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                
                SE of regression   0.29335      
                R-squared          0.97922      
                Log-lik.(n=600)  -69.53206      

top_50

Count

0.01

                Formula: count~ gdp + pop      
                top_50 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Tue Jan  9 19:20:55 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 1200       
                Sample: 1 to 1200       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            9.8290e-01  4.6694e-03 210.4984 < 2.2e-16 ***      
                gdp           -5.0843e-16  8.0691e-16  -0.6301 0.5287651          
                pop            1.4622e-08  1.7175e-08   0.8514 0.3947487          
                idAUS          1.3088e+00  2.9869e+00   0.4382 0.6613514          
                idAUT          3.2616e+00  3.0204e+00   1.0798 0.2804545          
                idBEL          9.8322e-01  3.0118e+00   0.3265 0.7441428          
                idBGR          5.4888e-01  3.0209e+00   0.1817 0.8558588          
                idBRA         -2.1148e+00  3.9378e+00  -0.5371 0.5913392          
                idCAN          2.7340e+00  2.9763e+00   0.9186 0.3585067          
                idCHE          1.4472e+00  3.0216e+00   0.4790 0.6320696          
                idCHL          3.9904e-01  2.9986e+00   0.1331 0.8941578          
                idCHN         -9.8963e+00  2.1545e+01  -0.4593 0.6460930          
                idCZE          5.9958e-01  3.0125e+00   0.1990 0.8422772          
                idDEU          1.2946e+01  3.6607e+00   3.5363 0.0004228 ***      
                idDNK          7.7426e-01  3.0280e+00   0.2557 0.7982297          
                idESP          3.5931e-01  2.9699e+00   0.1210 0.9037273          
                idFIN          7.9053e-01  3.0287e+00   0.2610 0.7941300          
                idFRA          7.5576e+00  3.0148e+00   2.5068 0.0123283 *        
                idGBR          4.8907e+00  2.9966e+00   1.6321 0.1029521          
                idGRC          4.6796e-01  3.0110e+00   0.1554 0.8765217          
                idHKG          8.8110e-01  3.0233e+00   0.2914 0.7707698          
                idHUN          5.5511e-01  3.0137e+00   0.1842 0.8538974          
                idIND         -1.5526e+01  2.0012e+01  -0.7758 0.4380268          
                idIRL          7.5098e-01  3.0319e+00   0.2477 0.8044201          
                idIRN          5.3574e+00  9.6581e+00   0.5547 0.5792108          
                idISR          6.2086e-01  3.0231e+00   0.2054 0.8373195          
                idITA          1.0099e+00  2.9864e+00   0.3382 0.7353087          
                idJPN          3.4189e+01  7.0224e+00   4.8686 1.290e-06 ***      
                idKOR          1.6193e+01  3.8506e+00   4.2053 2.823e-05 ***      
                idLUX          5.9787e-01  3.0458e+00   0.1963 0.8444177          
                idMEX         -9.2196e-01  3.1956e+00  -0.2885 0.7730117          
                idMYS          2.7926e-01  2.9774e+00   0.0938 0.9252903          
                idNLD          8.4779e-01  2.9973e+00   0.2829 0.7773440          
                idNOR          8.1569e-01  3.0303e+00   0.2692 0.7878448          
                idNZL          4.3100e-01  3.0321e+00   0.1421 0.8869939          
                idPHL         -7.4428e-01  3.0928e+00  -0.2407 0.8098705          
                idPOL          1.3210e-01  2.9692e+00   0.0445 0.9645228          
                idPRT          4.2644e-01  3.0125e+00   0.1416 0.8874554          
                idROU          3.2268e-01  2.9872e+00   0.1080 0.9139995          
                idRUS         -1.2050e+00  3.4681e+00  -0.3475 0.7283184          
                idSAU          2.8166e-01  2.9773e+00   0.0946 0.9246483          
                idSGP          1.0463e+00  3.0308e+00   0.3452 0.7299928          
                idSVK          5.3852e-01  3.0281e+00   0.1778 0.8588813          
                idSVN          5.6119e-01  3.0401e+00   0.1846 0.8535788          
                idSWE          1.3349e+00  3.0163e+00   0.4426 0.6581697          
                idTHA         -3.3341e-01  3.0040e+00  -0.1110 0.9116458          
                idTUR         -8.3176e-02  3.0175e+00  -0.0276 0.9780147          
                idTWN          5.6147e+00  2.9973e+00   1.8733 0.0613009 .        
                idUKR          1.3012e-01  2.9714e+00   0.0438 0.9650785          
                idUSA          3.3267e+01  5.7561e+00   5.7795 9.779e-09 ***      
                idVNM          6.5840e-01  3.6850e+00   0.1787 0.8582275          
                idZAF         -1.5867e-01  2.9748e+00  -0.0533 0.9574707          
                time1996      -1.2707e+00  2.5993e+00  -0.4889 0.6250429          
                time1997       1.2748e-01  2.6022e+00   0.0490 0.9609358          
                time1998      -2.5595e+00  2.6050e+00  -0.9825 0.3260630          
                time1999      -1.5303e+00  2.6140e+00  -0.5854 0.5583895          
                time2000      -1.7213e+00  2.6169e+00  -0.6577 0.5108389          
                time2001      -1.1618e+00  2.6202e+00  -0.4434 0.6575709          
                time2002      -2.6702e+00  2.6230e+00  -1.0180 0.3089106          
                time2003      -2.5026e+00  2.6228e+00  -0.9542 0.3402079          
                time2004      -3.4098e-01  2.6337e+00  -0.1295 0.8970128          
                time2005      -5.8036e-01  2.6324e+00  -0.2205 0.8255490          
                time2006      -1.8814e+00  2.6306e+00  -0.7152 0.4746526          
                time2007       2.2020e+00  2.6393e+00   0.8343 0.4043040          
                time2008      -7.6992e-01  2.6368e+00  -0.2920 0.7703547          
                time2009       2.2793e+00  2.6576e+00   0.8576 0.3912810          
                time2010       3.0177e+00  2.6555e+00   1.1364 0.2560398          
                time2011       5.0871e-01  2.6547e+00   0.1916 0.8480699          
                time2012      -1.4259e+00  2.6588e+00  -0.5363 0.5918507          
                time2013      -1.8614e+00  2.6810e+00  -0.6943 0.4876395          
                time2014      -2.2603e+00  2.6715e+00  -0.8461 0.3976846          
                time2015      -7.1294e-01  2.6758e+00  -0.2664 0.7899482          
                time2016      -1.0791e+00  2.6715e+00  -0.4039 0.6863356          
                time2017       5.3995e+00  2.6821e+00   2.0132 0.0443438 *        
                time2018       1.0711e-01  2.6860e+00   0.0399 0.9681993          
                time2019      -2.9344e+00  2.6950e+00  -1.0888 0.2764678          
                iis237         2.6620e+02  1.1057e+01  24.0756 < 2.2e-16 ***      
                iis238         1.4891e+02  1.1247e+01  13.2393 < 2.2e-16 ***      
                iis239         1.3535e+02  1.1436e+01  11.8356 < 2.2e-16 ***      
                iis240         1.6500e+02  1.1660e+01  14.1506 < 2.2e-16 ***      
                iis278         5.9593e+01  1.2054e+01   4.9437 8.873e-07 ***      
                iis282        -1.6302e+02  1.4714e+01 -11.0792 < 2.2e-16 ***      
                iis284        -2.1774e+02  1.2002e+01 -18.1427 < 2.2e-16 ***      
                iis288        -2.1592e+02  1.2034e+01 -17.9425 < 2.2e-16 ***      
                iis604         1.5791e+02  1.2032e+01  13.1242 < 2.2e-16 ***      
                iis605         7.9105e+01  1.1716e+01   6.7519 2.371e-11 ***      
                iis606        -1.1129e+02  1.1560e+01  -9.6265 < 2.2e-16 ***      
                iis607        -1.2881e+02  1.1639e+01 -11.0677 < 2.2e-16 ***      
                iis610         7.7298e+01  1.1644e+01   6.6385 4.994e-11 ***      
                iis612         1.3213e+02  1.1462e+01  11.5278 < 2.2e-16 ***      
                iis613        -1.3424e+02  1.1321e+01 -11.8573 < 2.2e-16 ***      
                iis614         2.5403e+02  1.1388e+01  22.3070 < 2.2e-16 ***      
                iis615         6.7497e+02  1.1237e+01  60.0662 < 2.2e-16 ***      
                iis616         4.3500e+02  1.1568e+01  37.6050 < 2.2e-16 ***      
                iis617        -1.0794e+02  1.2257e+01  -8.8062 < 2.2e-16 ***      
                iis618        -3.5444e+02  1.2110e+01 -29.2691 < 2.2e-16 ***      
                iis622         2.9623e+02  1.4812e+01  19.9985 < 2.2e-16 ***      
                iis624        -5.9417e+02  1.4705e+01 -40.4060 < 2.2e-16 ***      
                iis633         1.4982e+02  1.0814e+01  13.8544 < 2.2e-16 ***      
                iis638         1.7956e+02  1.3124e+01  13.6816 < 2.2e-16 ***      
                iis639         1.9565e+02  1.2843e+01  15.2333 < 2.2e-16 ***      
                iis642         2.0065e+02  1.1631e+01  17.2509 < 2.2e-16 ***      
                iis643        -2.7056e+02  1.1651e+01 -23.2214 < 2.2e-16 ***      
                iis644        -2.7250e+02  1.1620e+01 -23.4518 < 2.2e-16 ***      
                iis1146        1.7883e+02  1.0671e+01  16.7584 < 2.2e-16 ***      
                fesisCHN.2008  3.4300e+01  4.9706e+00   6.9006 8.782e-12 ***      
                fesisDEU.2009  7.9710e+01  6.8588e+00  11.6216 < 2.2e-16 ***      
                fesisDEU.2013 -3.7732e+01  1.2001e+01  -3.1442 0.0017105 **       
                fesisDEU.2015  4.3046e+01  1.2000e+01   3.5870 0.0003494 ***      
                fesisJPN.1999  2.7366e+01  8.6364e+00   3.1687 0.0015737 **       
                fesisJPN.2017  8.1658e+01  1.2372e+01   6.6002 6.405e-11 ***      
                fesisKOR.2009  1.2439e+02  8.8507e+00  14.0540 < 2.2e-16 ***      
                fesisKOR.2013 -2.7709e+01  9.1005e+00  -3.0447 0.0023848 **       
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                    Chi-sq df p-value          
                Ljung-Box AR(1)     6.3005  1 0.01207 *        
                Ljung-Box ARCH(1) 125.2210  1 < 2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression    10.28491      
                R-squared            0.99882      
                Log-lik.(n=1200) -4443.03953      
0.05

                Formula: count~ gdp + pop      
                top_50 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Tue Jan  9 19:20:51 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 1200       
                Sample: 1 to 1200       
                      
                SPECIFIC mean equation:      
                      
                                     coef   std.error   t-stat   p-value          
                ar1            8.7379e-01  6.3745e-03 137.0761 < 2.2e-16 ***      
                gdp           -5.3385e-16  6.4184e-16  -0.8317 0.4057364          
                pop            1.3936e-08  1.3694e-08   1.0177 0.3090632          
                idAUS          2.2079e+00  2.3744e+00   0.9299 0.3526532          
                idAUT          5.0187e+00  2.4024e+00   2.0890 0.0369401 *        
                idBEL          1.5767e+00  2.3942e+00   0.6586 0.5103076          
                idBGR          5.3528e-01  2.4013e+00   0.2229 0.8236466          
                idBRA         -1.9260e+00  3.1340e+00  -0.6145 0.5389864          
                idCAN          6.5859e+00  2.3727e+00   2.7757 0.0056025 **       
                idCHE          2.6544e+00  2.4026e+00   1.1048 0.2694883          
                idCHL          3.7479e-01  2.3834e+00   0.1572 0.8750796          
                idCHN         -6.0025e+00  1.7176e+01  -0.3495 0.7268016          
                idCZE          6.7191e-01  2.3946e+00   0.2806 0.7790713          
                idDEU          2.1880e+01  2.9414e+00   7.4385 2.070e-13 ***      
                idDNK          1.0658e+00  2.4070e+00   0.4428 0.6580136          
                idESP          8.8944e-01  2.3606e+00   0.3768 0.7064075          
                idFIN          1.1737e+00  2.4076e+00   0.4875 0.6259992          
                idFRA          1.5848e+01  2.4282e+00   6.5267 1.032e-10 ***      
                idGBR          9.0995e+00  2.3900e+00   3.8072 0.0001484 ***      
                idGRC          4.4669e-01  2.3933e+00   0.1866 0.8519783          
                idHKG          1.2806e+00  2.4032e+00   0.5329 0.5942382          
                idHUN          5.7769e-01  2.3955e+00   0.2411 0.8094849          
                idIND         -1.3518e+01  1.5955e+01  -0.8473 0.3970330          
                idIRL          8.3136e-01  2.4101e+00   0.3449 0.7301991          
                idIRN          5.6683e+00  7.6810e+00   0.7380 0.4606964          
                idISR          1.9676e+00  2.4039e+00   0.8185 0.4132623          
                idITA          2.5926e+00  2.3748e+00   1.0917 0.2752025          
                idJPN          9.3578e+01  6.2507e+00  14.9708 < 2.2e-16 ***      
                idKOR          3.0572e+01  3.4632e+00   8.8275 < 2.2e-16 ***      
                idLUX          6.2865e-01  2.4212e+00   0.2596 0.7951877          
                idMEX         -8.4540e-01  2.5410e+00  -0.3327 0.7394195          
                idMYS          3.7546e-01  2.3665e+00   0.1587 0.8739665          
                idNLD          1.8432e+00  2.3829e+00   0.7735 0.4393850          
                idNOR          1.0373e+00  2.4088e+00   0.4306 0.6668173          
                idNZL          5.8271e-01  2.4103e+00   0.2418 0.8090118          
                idPHL         -7.1876e-01  2.4587e+00  -0.2923 0.7700899          
                idPOL          2.8562e-01  2.3599e+00   0.1210 0.9036911          
                idPRT          4.2537e-01  2.3945e+00   0.1776 0.8590375          
                idROU          3.8309e-01  2.3743e+00   0.1613 0.8718487          
                idRUS         -2.0015e-01  2.7590e+00  -0.0725 0.9421819          
                idSAU          3.2675e-01  2.3664e+00   0.1381 0.8902034          
                idSGP          1.5883e+00  2.4093e+00   0.6592 0.5098790          
                idSVK          5.1811e-01  2.4070e+00   0.2152 0.8296165          
                idSVN          5.6801e-01  2.4166e+00   0.2350 0.8142172          
                idSWE          2.2334e+00  2.3980e+00   0.9313 0.3518867          
                idTHA         -3.1420e-01  2.3877e+00  -0.1316 0.8953334          
                idTUR          1.4313e-01  2.3986e+00   0.0597 0.9524258          
                idTWN          1.1862e+01  2.4009e+00   4.9406 9.020e-07 ***      
                idUKR          3.4062e-01  2.3617e+00   0.1442 0.8853451          
                idUSA          4.7359e+01  4.7459e+00   9.9791 < 2.2e-16 ***      
                idVNM          7.5305e-01  2.9292e+00   0.2571 0.7971645          
                idZAF          3.4237e-02  2.3644e+00   0.0145 0.9884495          
                time1996      -2.1414e+00  2.0671e+00  -1.0360 0.3004548          
                time1997      -5.4153e-01  2.0693e+00  -0.2617 0.7936059          
                time1998      -2.8764e+00  2.0714e+00  -1.3886 0.1652291          
                time1999      -1.8856e+00  2.0786e+00  -0.9072 0.3645263          
                time2000      -1.9604e+00  2.0809e+00  -0.9421 0.3463546          
                time2001      -1.3069e+00  2.0835e+00  -0.6273 0.5306048          
                time2002      -2.6607e+00  2.0857e+00  -1.2756 0.2023545          
                time2003      -2.4072e+00  2.0850e+00  -1.1545 0.2485403          
                time2004      -2.0808e-01  2.0939e+00  -0.0994 0.9208597          
                time2005      -5.5012e-01  2.0956e+00  -0.2625 0.7929717          
                time2006      -3.8533e-01  2.1028e+00  -0.1832 0.8546419          
                time2007       2.4910e+00  2.1004e+00   1.1860 0.2358990          
                time2008      -4.5289e-01  2.0990e+00  -0.2158 0.8292137          
                time2009      -3.7424e-01  2.1192e+00  -0.1766 0.8598559          
                time2010       2.3743e+00  2.1107e+00   1.1249 0.2608928          
                time2011       1.3168e-01  2.1137e+00   0.0623 0.9503370          
                time2012      -1.1601e+00  2.1158e+00  -0.5483 0.5835774          
                time2013      -1.1532e+00  2.1316e+00  -0.5410 0.5886001          
                time2014      -2.0214e+00  2.1186e+00  -0.9541 0.3402277          
                time2015      -9.3896e-02  2.1276e+00  -0.0441 0.9648067          
                time2016      -8.0915e-02  2.1230e+00  -0.0381 0.9696037          
                time2017       3.3258e+00  2.1420e+00   1.5526 0.1208017          
                time2018       2.8002e+00  2.1353e+00   1.3114 0.1900025          
                time2019      -6.5016e-01  2.1438e+00  -0.3033 0.7617355          
                iis237         2.8284e+02  8.8264e+00  32.0453 < 2.2e-16 ***      
                iis238         2.0166e+02  9.2541e+00  21.7917 < 2.2e-16 ***      
                iis239         2.0374e+02  9.6696e+00  21.0697 < 2.2e-16 ***      
                iis240         2.5180e+02  1.0154e+01  24.7976 < 2.2e-16 ***      
                iis278         5.3400e+01  9.2201e+00   5.7917 9.129e-09 ***      
                iis280         4.1765e+01  9.0496e+00   4.6151 4.399e-06 ***      
                iis282        -1.6526e+02  9.0894e+00 -18.1815 < 2.2e-16 ***      
                iis284        -1.8490e+02  9.0531e+00 -20.4241 < 2.2e-16 ***      
                iis286         8.2965e+01  9.0530e+00   9.1644 < 2.2e-16 ***      
                iis288        -1.6857e+02  9.1316e+00 -18.4603 < 2.2e-16 ***      
                iis604         1.4257e+02  1.0196e+01  13.9829 < 2.2e-16 ***      
                iis605         8.6519e+01  1.0114e+01   8.5546 < 2.2e-16 ***      
                iis606        -9.0108e+01  1.0148e+01  -8.8790 < 2.2e-16 ***      
                iis607        -1.1488e+02  1.0122e+01 -11.3492 < 2.2e-16 ***      
                iis610         6.6784e+01  1.1706e+01   5.7050 1.501e-08 ***      
                iis613        -2.4748e+02  1.0251e+01 -24.1423 < 2.2e-16 ***      
                iis614         1.3368e+02  1.0519e+01  12.7084 < 2.2e-16 ***      
                iis615         5.8540e+02  9.7319e+00  60.1531 < 2.2e-16 ***      
                iis616         4.2340e+02  9.3528e+00  45.2696 < 2.2e-16 ***      
                iis617        -6.9741e+01  1.0214e+01  -6.8278 1.436e-11 ***      
                iis618        -3.2656e+02  9.9808e+00 -32.7190 < 2.2e-16 ***      
                iis622         2.5649e+02  1.1955e+01  21.4535 < 2.2e-16 ***      
                iis624        -5.8292e+02  1.1698e+01 -49.8286 < 2.2e-16 ***      
                iis633         1.2507e+02  9.6023e+00  13.0251 < 2.2e-16 ***      
                iis635        -5.9979e+01  9.5401e+00  -6.2870 4.687e-10 ***      
                iis638         1.2711e+02  1.0912e+01  11.6480 < 2.2e-16 ***      
                iis639         1.7576e+02  9.9645e+00  17.6384 < 2.2e-16 ***      
                iis641         4.8943e+01  9.2981e+00   5.2638 1.701e-07 ***      
                iis642         2.1426e+02  9.2400e+00  23.1882 < 2.2e-16 ***      
                iis643        -2.2475e+02  9.3763e+00 -23.9704 < 2.2e-16 ***      
                iis644        -2.4735e+02  9.2455e+00 -26.7538 < 2.2e-16 ***      
                iis646         8.9469e+01  9.2378e+00   9.6850 < 2.2e-16 ***      
                iis1142        6.0429e+01  9.1473e+00   6.6062 6.176e-11 ***      
                iis1146        1.5704e+02  8.7328e+00  17.9829 < 2.2e-16 ***      
                fesisCHN.2008  5.8465e+01  4.1087e+00  14.2297 < 2.2e-16 ***      
                fesisDEU.2009  1.0141e+02  5.0089e+00  20.2467 < 2.2e-16 ***      
                fesisJPN.1999  4.7335e+01  7.6996e+00   6.1477 1.104e-09 ***      
                fesisJPN.2005  2.4470e+01  1.0187e+01   2.4020 0.0164732 *        
                fesisJPN.2007  1.4042e+02  1.0938e+01  12.8378 < 2.2e-16 ***      
                fesisJPN.2017  1.2495e+02  1.0371e+01  12.0473 < 2.2e-16 ***      
                fesisKOR.2004  2.8380e+01  5.8311e+00   4.8669 1.302e-06 ***      
                fesisKOR.2009  1.7269e+02  8.5119e+00  20.2882 < 2.2e-16 ***      
                fesisUSA.2009  8.6064e+01  4.9462e+00  17.4000 < 2.2e-16 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df   p-value          
                Ljung-Box AR(1)    2.6605  1    0.1029          
                Ljung-Box ARCH(1) 38.4056  1 5.747e-10 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                                                  
                SE of regression     8.17442      
                R-squared            0.99926      
                Log-lik.(n=1200) -4164.43849      

Log Count

0.01

                Formula: log_count~ lgdp + lpop      
                top_50 (1995:2019); p.value: 0.01; AR: 1      
                      
                Date: Tue Jan  9 19:30:22 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 1200       
                Sample: 1 to 1200       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1            0.293843  0.026199 11.2157 < 2.2e-16 ***      
                lgdp           0.274921  0.119065  2.3090 0.0211297 *        
                lpop          -0.634785  0.267333 -2.3745 0.0177442 *        
                idAUS          0.682110  0.259008  2.6335 0.0085691 **       
                idAUT          0.203406  0.419167  0.4853 0.6275867          
                idBEL         -0.016142  0.371092 -0.0435 0.9653118          
                idBGR         -0.424531  0.432540 -0.9815 0.3265711          
                idBRA          0.823407  0.404798  2.0341 0.0421809 *        
                idCAN          1.903053  0.199988  9.5158 < 2.2e-16 ***      
                idCHE          0.575171  0.453612  1.2680 0.2050751          
                idCHL         -1.755790  0.772197 -2.2738 0.0231738 *        
                idCHN          3.635946  0.888859  4.0906 4.619e-05 ***      
                idCZE         -1.055638  0.503830 -2.0952 0.0363803 *        
                idDEU          3.132382  0.284110 11.0252 < 2.2e-16 ***      
                idDNK         -0.188662  0.632106 -0.2985 0.7654048          
                idESP          0.877836  0.127403  6.8902 9.389e-12 ***      
                idFIN         -0.137840  0.516145 -0.2671 0.7894756          
                idFRA          2.756140  0.209596 13.1498 < 2.2e-16 ***      
                idGBR          2.340571  0.191760 12.2057 < 2.2e-16 ***      
                idGRC         -0.515054  0.339904 -1.5153 0.1299865          
                idHKG         -0.600817  0.552168 -1.0881 0.2767890          
                idHUN         -1.864768  0.709475 -2.6284 0.0086996 **       
                idIND          1.397986  0.863934  1.6182 0.1059160          
                idIRL         -0.584489  0.572010 -1.0218 0.3070939          
                idIRN         -2.311744  1.128057 -2.0493 0.0406696 *        
                idISR          0.260954  0.490167  0.5324 0.5945721          
                idITA          1.625519  0.177098  9.1786 < 2.2e-16 ***      
                idJPN          3.740789  0.759249  4.9270 9.642e-07 ***      
                idKOR          1.433282  0.886663  1.6165 0.1062770          
                idLUX         -1.615927  1.114813 -1.4495 0.1474833          
                idMEX         -0.117447  0.390595 -0.3007 0.7637107          
                idMYS          0.009884  0.167785  0.0589 0.9530355          
                idNLD          0.839064  0.266853  3.1443 0.0017098 **       
                idNOR         -1.136564  0.667527 -1.7026 0.0889181 .        
                idNZL         -0.518727  0.579178 -0.8956 0.3706491          
                idPHL         -0.310665  0.345301 -0.8997 0.3684830          
                idPOL          0.152982  0.153162  0.9988 0.3181020          
                idPRT         -0.488959  0.350956 -1.3932 0.1638372          
                idROU          0.286653  0.192341  1.4903 0.1364255          
                idRUS          0.708980  0.549398  1.2905 0.1971618          
                idSAU         -0.637540  0.243901 -2.6139 0.0090739 **       
                idSGP         -0.809748  0.589003 -1.3748 0.1694824          
                idSVK         -0.633763  0.511723 -1.2385 0.2158008          
                idSVN         -0.994510  0.746636 -1.3320 0.1831416          
                idSWE         -0.076520  0.521638 -0.1467 0.8834029          
                idTHA         -0.320946  0.300582 -1.0677 0.2858699          
                idTUR          0.662219  0.180913  3.6604 0.0002638 ***      
                idTWN          1.120161  0.246981  4.5354 6.384e-06 ***      
                idUKR          0.716480  0.208952  3.4289 0.0006286 ***      
                idUSA          4.516615  0.563562  8.0144 2.824e-15 ***      
                idVNM         -1.806379  0.936703 -1.9284 0.0540589 .        
                idZAF          0.866540  0.288096  3.0078 0.0026915 **       
                time1996       3.503202  4.539583  0.7717 0.4404582          
                time1997       3.580071  4.542248  0.7882 0.4307672          
                time1998       3.507457  4.544715  0.7718 0.4404198          
                time1999       3.576860  4.547363  0.7866 0.4316989          
                time2000       3.761371  4.550524  0.8266 0.4086557          
                time2001       3.634259  4.551766  0.7984 0.4247955          
                time2002       3.599001  4.554992  0.7901 0.4296277          
                time2003       3.695269  4.557710  0.8108 0.4176725          
                time2004       3.637277  4.560383  0.7976 0.4252867          
                time2005       3.658310  4.563174  0.8017 0.4228990          
                time2006       3.737212  4.567076  0.8183 0.4133675          
                time2007       3.769309  4.570511  0.8247 0.4097207          
                time2008       3.820726  4.574023  0.8353 0.4037259          
                time2009       3.946468  4.574428  0.8627 0.3884787          
                time2010       4.110254  4.577569  0.8979 0.3694303          
                time2011       4.159064  4.580191  0.9081 0.3640495          
                time2012       4.057307  4.582190  0.8855 0.3761079          
                time2013       4.075262  4.584290  0.8890 0.3742189          
                time2014       4.090760  4.586706  0.8919 0.3726572          
                time2015       4.165681  4.588243  0.9079 0.3641295          
                time2016       4.138908  4.590061  0.9017 0.3674092          
                time2017       4.394767  4.592997  0.9568 0.3388592          
                time2018       4.297914  4.595449  0.9353 0.3498637          
                time2019       4.224535  4.597421  0.9189 0.3583546          
                iis77         -1.058431  0.409723 -2.5833 0.0099154 **       
                iis142        -1.207868  0.392562 -3.0769 0.0021438 **       
                iis170        -2.002810  0.392215 -5.1064 3.871e-07 ***      
                iis176        -1.285760  0.391972 -3.2802 0.0010700 **       
                iis217        -1.666363  0.403510 -4.1297 3.910e-05 ***      
                iis290        -1.904761  0.429507 -4.4348 1.015e-05 ***      
                iis294        -1.180668  0.394715 -2.9912 0.0028412 **       
                iis462         1.179155  0.392019  3.0079 0.0026908 **       
                iis516        -1.090697  0.393439 -2.7722 0.0056623 **       
                iis518        -1.136921  0.392831 -2.8942 0.0038771 **       
                iis525        -1.397458  0.392703 -3.5586 0.0003889 ***      
                iis565         1.256731  0.391494  3.2101 0.0013656 **       
                iis755        -1.115810  0.391703 -2.8486 0.0044733 **       
                iis898         1.225342  0.391516  3.1297 0.0017960 **       
                iis1200       -1.227588  0.394023 -3.1155 0.0018840 **       
                fesisAUT.2006  0.920101  0.162208  5.6723 1.802e-08 ***      
                fesisBEL.2004  0.544533  0.176176  3.0909 0.0020463 **       
                fesisCHL.2005 -0.536153  0.163675 -3.2757 0.0010870 **       
                fesisCHN.2007  1.159449  0.190579  6.0838 1.621e-09 ***      
                fesisDEU.2007  0.777531  0.162188  4.7940 1.861e-06 ***      
                fesisDNK.2001 -0.657756  0.213395 -3.0823 0.0021052 **       
                fesisIND.2001  1.003877  0.199669  5.0277 5.797e-07 ***      
                fesisKOR.2004  0.972804  0.172719  5.6323 2.261e-08 ***      
                fesisLUX.2011 -0.602744  0.166628 -3.6173 0.0003113 ***      
                fesisNZL.2016 -0.997816  0.212847 -4.6880 3.108e-06 ***      
                fesisROU.2011 -0.735329  0.170883 -4.3031 1.835e-05 ***      
                fesisSAU.2015  0.769176  0.201931  3.8091 0.0001472 ***      
                fesisSGP.2004  0.835586  0.173511  4.8158 1.673e-06 ***      
                fesisTWN.2002  1.144198  0.187226  6.1113 1.373e-09 ***      
                fesisUKR.2008 -0.837990  0.163881 -5.1134 3.734e-07 ***      
                fesisZAF.2000 -0.799336  0.211876 -3.7727 0.0001702 ***      
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                   Chi-sq df p-value      
                Ljung-Box AR(1)   0.86297  1  0.3529      
                Ljung-Box ARCH(1) 2.20744  1  0.1373      
                                                 
                SE of regression    0.37932      
                R-squared           0.96090      
                Log-lik.(n=1200) -485.98579      
0.05

                Formula: log_count~ lgdp + lpop      
                top_50 (1995:2019); p.value: 0.05; AR: 1      
                      
                Date: Tue Jan  9 19:29:30 2024       
                Dependent var.: y       
                Method: Ordinary Least Squares (OLS)      
                Variance-Covariance: Ordinary       
                No. of observations (mean eq.): 1200       
                Sample: 1 to 1200       
                      
                SPECIFIC mean equation:      
                      
                                   coef std.error  t-stat   p-value          
                ar1            0.312490  0.023635 13.2213 < 2.2e-16 ***      
                lgdp           0.175655  0.114478  1.5344 0.1252357          
                lpop          -0.643384  0.248055 -2.5937 0.0096289 **       
                idAUS          0.820867  0.237525  3.4559 0.0005707 ***      
                idAUT          0.103045  0.389971  0.2642 0.7916494          
                idBEL         -0.104289  0.357688 -0.2916 0.7706777          
                idBGR         -0.642982  0.414913 -1.5497 0.1215254          
                idBRA          0.933021  0.385471  2.4205 0.0156722 *        
                idCAN          1.946347  0.184276 10.5621 < 2.2e-16 ***      
                idCHE          0.522149  0.420063  1.2430 0.2141409          
                idCHL         -1.419237  0.726409 -1.9538 0.0509978 .        
                idCHN          4.132898  0.847766  4.8750 1.259e-06 ***      
                idCZE         -0.887667  0.464100 -1.9127 0.0560674 .        
                idDEU          3.219984  0.267210 12.0504 < 2.2e-16 ***      
                idDNK         -0.115853  0.579304 -0.2000 0.8415306          
                idESP          0.906976  0.115414  7.8584 9.727e-15 ***      
                idFIN         -0.285638  0.483992 -0.5902 0.5552045          
                idFRA          2.810312  0.197301 14.2438 < 2.2e-16 ***      
                idGBR          2.388301  0.179743 13.2873 < 2.2e-16 ***      
                idGRC         -0.685622  0.320713 -2.1378 0.0327667 *        
                idHKG         -0.863874  0.524242 -1.6479 0.0996865 .        
                idHUN         -1.445196  0.659119 -2.1926 0.0285574 *        
                idIND          2.400993  0.846163  2.8375 0.0046357 **       
                idIRL         -0.172309  0.639020 -0.2696 0.7874869          
                idIRN         -1.329750  1.092700 -1.2169 0.2239051          
                idISR          0.292339  0.454178  0.6437 0.5199357          
                idITA          1.725919  0.166270 10.3802 < 2.2e-16 ***      
                idJPN          4.294080  0.742795  5.7810 9.830e-09 ***      
                idKOR          2.093837  0.852335  2.4566 0.0141899 *        
                idLUX         -1.963590  1.043047 -1.8826 0.0600419 .        
                idMEX          0.283336  0.383036  0.7397 0.4596427          
                idMYS          0.016585  0.177479  0.0934 0.9255663          
                idNLD          0.800749  0.245587  3.2606 0.0011483 **       
                idNOR         -1.101765  0.615334 -1.7905 0.0736637 .        
                idNZL         -0.652797  0.542189 -1.2040 0.2288643          
                idPHL          0.016603  0.335811  0.0494 0.9605768          
                idPOL          0.177550  0.141327  1.2563 0.2092877          
                idPRT         -0.551199  0.330063 -1.6700 0.0952255 .        
                idROU          0.150075  0.179778  0.8348 0.4040350          
                idRUS          1.202773  0.540547  2.2251 0.0262896 *        
                idSAU         -0.526770  0.223609 -2.3558 0.0186707 *        
                idSGP         -0.938757  0.549761 -1.7076 0.0880161 .        
                idSVK         -0.877123  0.488419 -1.7958 0.0728119 .        
                idSVN         -1.265604  0.709539 -1.7837 0.0747662 .        
                idSWE          0.014737  0.480780  0.0307 0.9755521          
                idTHA         -0.067702  0.291857 -0.2320 0.8166074          
                idTUR          0.406360  0.172476  2.3560 0.0186573 *        
                idTWN          1.290124  0.230131  5.6060 2.656e-08 ***      
                idUKR          0.395008  0.233105  1.6946 0.0904620 .        
                idUSA          4.751521  0.542310  8.7616 < 2.2e-16 ***      
                idVNM         -0.925796  0.893287 -1.0364 0.3002614          
                idZAF          0.993514  0.264218  3.7602 0.0001793 ***      
                time1996       6.360991  4.402132  1.4450 0.1487669          
                time1997       6.389702  4.403833  1.4509 0.1470999          
                time1998       6.375562  4.407114  1.4467 0.1482977          
                time1999       6.419646  4.409543  1.4559 0.1457371          
                time2000       6.532469  4.413101  1.4802 0.1391129          
                time2001       6.440144  4.414592  1.4588 0.1449156          
                time2002       6.394321  4.417691  1.4474 0.1480785          
                time2003       6.554156  4.420571  1.4826 0.1384726          
                time2004       6.489280  4.423237  1.4671 0.1426564          
                time2005       6.472145  4.426009  1.4623 0.1439636          
                time2006       6.548987  4.429523  1.4785 0.1395826          
                time2007       6.586538  4.432604  1.4859 0.1376029          
                time2008       6.610290  4.435067  1.4905 0.1364086          
                time2009       6.763665  4.434865  1.5251 0.1275373          
                time2010       6.973790  4.437950  1.5714 0.1163963          
                time2011       6.967776  4.440516  1.5691 0.1169223          
                time2012       6.912758  4.442574  1.5560 0.1200083          
                time2013       6.957381  4.444595  1.5654 0.1178053          
                time2014       6.938346  4.447023  1.5602 0.1190136          
                time2015       6.960778  4.448618  1.5647 0.1179582          
                time2016       6.999051  4.449660  1.5729 0.1160387          
                time2017       7.227112  4.452424  1.6232 0.1048548          
                time2018       7.220085  4.455030  1.6207 0.1053960          
                time2019       7.112489  4.455529  1.5963 0.1107213          
                iis1           1.026852  0.338628  3.0324 0.0024868 **       
                iis23         -1.073730  0.338543 -3.1716 0.0015606 **       
                iis27         -1.056417  0.338640 -3.1196 0.0018613 **       
                iis33         -1.025429  0.338407 -3.0302 0.0025050 **       
                iis77         -1.510855  0.340262 -4.4403 9.951e-06 ***      
                iis80         -1.174199  0.339856 -3.4550 0.0005727 ***      
                iis98          0.857107  0.341102  2.5128 0.0121305 *        
                iis114        -0.932243  0.338785 -2.7517 0.0060321 **       
                iis142        -1.187119  0.406199 -2.9225 0.0035479 **       
                iis170        -1.986284  0.338302 -5.8713 5.821e-09 ***      
                iis176        -1.321216  0.338158 -3.9071 9.949e-05 ***      
                iis195         0.721141  0.353543  2.0398 0.0416290 *        
                iis197         0.794391  0.353544  2.2469 0.0248548 *        
                iis217        -1.886353  0.353248 -5.3400 1.143e-07 ***      
                iis219        -0.788406  0.351686 -2.2418 0.0251868 *        
                iis220        -0.757394  0.351375 -2.1555 0.0313521 *        
                iis290        -1.902136  0.370562 -5.1331 3.404e-07 ***      
                iis294        -1.289213  0.347062 -3.7147 0.0002144 ***      
                iis422         1.152037  0.338038  3.4080 0.0006796 ***      
                iis437         0.738904  0.358880  2.0589 0.0397526 *        
                iis439         0.785319  0.357049  2.1995 0.0280652 *        
                iis462         1.161029  0.338277  3.4322 0.0006225 ***      
                iis477        -1.020814  0.338688 -3.0140 0.0026410 **       
                iis481        -1.105443  0.405085 -2.7289 0.0064622 **       
                iis516        -1.890767  0.406536 -4.6509 3.733e-06 ***      
                iis518        -1.128576  0.349006 -3.2337 0.0012607 **       
                iis525        -1.396210  0.348716 -4.0039 6.677e-05 ***      
                iis565         1.261364  0.338056  3.7312 0.0002009 ***      
                iis576        -1.097367  0.340422 -3.2236 0.0013058 **       
                iis579        -0.879092  0.338704 -2.5955 0.0095803 **       
                iis666        -1.046976  0.339819 -3.0810 0.0021178 **       
                iis688        -0.865918  0.338100 -2.5611 0.0105744 *        
                iis691        -0.984219  0.338344 -2.9089 0.0037044 **       
                iis749         1.045003  0.338685  3.0855 0.0020864 **       
                iis755        -1.009249  0.338461 -2.9819 0.0029321 **       
                iis766         0.919962  0.338695  2.7162 0.0067138 **       
                iis789        -1.114544  0.407277 -2.7366 0.0063147 **       
                iis791        -0.797157  0.404990 -1.9683 0.0492961 *        
                iis816        -0.894759  0.341122 -2.6230 0.0088447 **       
                iis829         1.160491  0.337831  3.4351 0.0006158 ***      
                iis874         0.863207  0.342163  2.5228 0.0117919 *        
                iis889        -1.073048  0.340346 -3.1528 0.0016636 **       
                iis898         1.208030  0.337961  3.5745 0.0003672 ***      
                iis932         0.984622  0.371616  2.6496 0.0081826 **       
                iis952         0.902206  0.342685  2.6328 0.0085959 **       
                iis957         0.759341  0.343120  2.2130 0.0271124 *        
                iis1003       -0.940944  0.337879 -2.7849 0.0054531 **       
                iis1012        1.001167  0.337922  2.9627 0.0031192 **       
                iis1069        0.803831  0.351865  2.2845 0.0225450 *        
                iis1075        0.719764  0.351230  2.0493 0.0406884 *        
                iis1080        1.648113  0.468238  3.5198 0.0004507 ***      
                iis1081       -1.037224  0.362482 -2.8614 0.0043022 **       
                iis1184       -0.981574  0.342397 -2.8668 0.0042310 **       
                iis1191       -1.043765  0.341995 -3.0520 0.0023314 **       
                iis1200       -0.938971  0.382325 -2.4559 0.0142151 *        
                fesisAUT.2006  0.894501  0.140154  6.3823 2.630e-10 ***      
                fesisBEL.2000  0.523846  0.184574  2.8381 0.0046265 **       
                fesisBRA.2015  0.761282  0.246097  3.0934 0.0020318 **       
                fesisBRA.2017 -0.714614  0.331112 -2.1582 0.0311404 *        
                fesisCHL.2005 -0.329489  0.153852 -2.1416 0.0324597 *        
                fesisCHN.2007  1.039010  0.175570  5.9179 4.431e-09 ***      
                fesisDEU.2007  0.741277  0.140338  5.2821 1.557e-07 ***      
                fesisDNK.2001 -0.524431  0.196384 -2.6704 0.0076944 **       
                fesisDNK.2012 -1.094695  0.256453 -4.2686 2.148e-05 ***      
                fesisDNK.2014  1.080762  0.269938  4.0037 6.681e-05 ***      
                fesisHKG.2000  0.443913  0.214515  2.0694 0.0387583 *        
                fesisHKG.2008 -0.635627  0.201923 -3.1479 0.0016918 **       
                fesisHKG.2013  0.807540  0.194370  4.1547 3.527e-05 ***      
                fesisIND.1999 -0.849772  0.330708 -2.5696 0.0103224 *        
                fesisIND.2001  1.327322  0.250490  5.2989 1.424e-07 ***      
                fesisIRL.1997 -0.801388  0.349835 -2.2908 0.0221781 *        
                fesisIRL.2006  1.061364  0.259678  4.0872 4.704e-05 ***      
                fesisIRL.2009 -0.812501  0.258714 -3.1405 0.0017343 **       
                fesisKOR.2004  0.968028  0.150068  6.4506 1.709e-10 ***      
                fesisLUX.2016 -0.817502  0.187426 -4.3617 1.420e-05 ***      
                fesisMYS.2007  0.969388  0.346168  2.8003 0.0052001 **       
                fesisMYS.2008 -1.023230  0.344769 -2.9679 0.0030678 **       
                fesisNZL.2016 -0.525627  0.249578 -2.1061 0.0354395 *        
                fesisPRT.2018 -0.838381  0.245686 -3.4124 0.0006689 ***      
                fesisROU.2011 -0.673264  0.150389 -4.4768 8.419e-06 ***      
                fesisSAU.2015  0.565430  0.192664  2.9348 0.0034115 **       
                fesisSGP.2004  0.754892  0.154823  4.8758 1.254e-06 ***      
                fesisTUR.2008  0.502776  0.154970  3.2444 0.0012149 **       
                fesisTUR.2018 -0.928901  0.351082 -2.6458 0.0082730 **       
                fesisTWN.2002  0.941705  0.172685  5.4533 6.186e-08 ***      
                fesisUKR.2000  0.666277  0.205967  3.2349 0.0012556 **       
                fesisUKR.2008 -1.055975  0.156734 -6.7374 2.674e-11 ***      
                fesisVNM.2011  0.941273  0.343656  2.7390 0.0062687 **       
                fesisVNM.2012 -1.214970  0.351318 -3.4583 0.0005657 ***      
                fesisZAF.2000 -0.562991  0.188506 -2.9866 0.0028877 **       
                fesisZAF.2016 -0.509291  0.211049 -2.4131 0.0159889 *        
                ---      
                Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1      
                      
                Diagnostics and fit:      
                      
                                  Chi-sq df p-value      
                Ljung-Box AR(1)   1.4155  1  0.2341      
                Ljung-Box ARCH(1) 2.5031  1  0.1136      
                                                 
                SE of regression    0.32702      
                R-squared           0.97254      
                Log-lik.(n=1200) -277.95362